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Finding the Fourth Proportional to 16,165.52, 22,307.64 and 9,092.72

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Solution

The fourth proportional to 16,165.52, 22,307.64 and 9,092.72 is: 12,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.52 : 22,307.64 = 9,092.72 : x
  2. Step 2: Convert to fraction form
    16,165.52/22,307.64 = 9,092.72/x
  3. Step 3: Cross multiply
    16,165.52x = 22,307.64 × 9,092.72
  4. Step 4: Simplify right side
    16,165.52x = 202,837,124.38
  5. Step 5: Solve for x
    x = 202,837,124.38/16,165.52
  6. Step 6: Final answer
    x = 12,547.52

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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.