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Finding the Fourth Proportional to 15,314, 21,127.92 and 10,011.92

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Solution

The fourth proportional to 15,314, 21,127.92 and 10,011.92 is: 13,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314 : 21,127.92 = 10,011.92 : x
  2. Step 2: Convert to fraction form
    15,314/21,127.92 = 10,011.92/x
  3. Step 3: Cross multiply
    15,314x = 21,127.92 × 10,011.92
  4. Step 4: Simplify right side
    15,314x = 211,531,044.81
  5. Step 5: Solve for x
    x = 211,531,044.81/15,314
  6. Step 6: Final answer
    x = 13,812.92

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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.