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Finding the Fourth Proportional to 19,297.50, 26,630.55 and 10,465.50

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Solution

The fourth proportional to 19,297.50, 26,630.55 and 10,465.50 is: 14,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.50 : 26,630.55 = 10,465.50 : x
  2. Step 2: Convert to fraction form
    19,297.50/26,630.55 = 10,465.50/x
  3. Step 3: Cross multiply
    19,297.50x = 26,630.55 × 10,465.50
  4. Step 4: Simplify right side
    19,297.50x = 278,702,021.03
  5. Step 5: Solve for x
    x = 278,702,021.03/19,297.50
  6. Step 6: Final answer
    x = 14,442.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.