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Finding the Fourth Proportional to 19,397.50, 26,768.55 and 10,565.50

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Solution

The fourth proportional to 19,397.50, 26,768.55 and 10,565.50 is: 14,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,397.50 : 26,768.55 = 10,565.50 : x
  2. Step 2: Convert to fraction form
    19,397.50/26,768.55 = 10,565.50/x
  3. Step 3: Cross multiply
    19,397.50x = 26,768.55 × 10,565.50
  4. Step 4: Simplify right side
    19,397.50x = 282,823,115.03
  5. Step 5: Solve for x
    x = 282,823,115.03/19,397.50
  6. Step 6: Final answer
    x = 14,580.39

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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.