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Finding the Fourth Proportional to 16,488, 22,784.49 and 12,501.72

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Solution

The fourth proportional to 16,488, 22,784.49 and 12,501.72 is: 17,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488 : 22,784.49 = 12,501.72 : x
  2. Step 2: Convert to fraction form
    16,488/22,784.49 = 12,501.72/x
  3. Step 3: Cross multiply
    16,488x = 22,784.49 × 12,501.72
  4. Step 4: Simplify right side
    16,488x = 284,845,314.32
  5. Step 5: Solve for x
    x = 284,845,314.32/16,488
  6. Step 6: Final answer
    x = 17,275.92

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