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Finding the Fourth Proportional to 14,465.76, 21,680.40 and 7,878.24

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Solution

The fourth proportional to 14,465.76, 21,680.40 and 7,878.24 is: 11,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.76 : 21,680.40 = 7,878.24 : x
  2. Step 2: Convert to fraction form
    14,465.76/21,680.40 = 7,878.24/x
  3. Step 3: Cross multiply
    14,465.76x = 21,680.40 × 7,878.24
  4. Step 4: Simplify right side
    14,465.76x = 170,803,394.50
  5. Step 5: Solve for x
    x = 170,803,394.50/14,465.76
  6. Step 6: Final answer
    x = 11,807.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.