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Finding the Fourth Proportional to 21,100.16, 31,665.80 and 10,006.88

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Solution

The fourth proportional to 21,100.16, 31,665.80 and 10,006.88 is: 15,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.16 : 31,665.80 = 10,006.88 : x
  2. Step 2: Convert to fraction form
    21,100.16/31,665.80 = 10,006.88/x
  3. Step 3: Cross multiply
    21,100.16x = 31,665.80 × 10,006.88
  4. Step 4: Simplify right side
    21,100.16x = 316,875,889.83
  5. Step 5: Solve for x
    x = 316,875,889.83/21,100.16
  6. Step 6: Final answer
    x = 15,017.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.