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Finding the Fourth Proportional to 15,732.49, 21,710.63 and 8,927.76

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Solution

The fourth proportional to 15,732.49, 21,710.63 and 8,927.76 is: 12,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.49 : 21,710.63 = 8,927.76 : x
  2. Step 2: Convert to fraction form
    15,732.49/21,710.63 = 8,927.76/x
  3. Step 3: Cross multiply
    15,732.49x = 21,710.63 × 8,927.76
  4. Step 4: Simplify right side
    15,732.49x = 193,827,249.45
  5. Step 5: Solve for x
    x = 193,827,249.45/15,732.49
  6. Step 6: Final answer
    x = 12,320.19

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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.