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Finding the Fourth Proportional to 14,711.52, 22,050 and 6,918.24

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Solution

The fourth proportional to 14,711.52, 22,050 and 6,918.24 is: 10,369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.52 : 22,050 = 6,918.24 : x
  2. Step 2: Convert to fraction form
    14,711.52/22,050 = 6,918.24/x
  3. Step 3: Cross multiply
    14,711.52x = 22,050 × 6,918.24
  4. Step 4: Simplify right side
    14,711.52x = 152,547,192
  5. Step 5: Solve for x
    x = 152,547,192/14,711.52
  6. Step 6: Final answer
    x = 10,369.23

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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.