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Finding the Fourth Proportional to 15,686.46, 21,644.03 and 9,312.14

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Solution

The fourth proportional to 15,686.46, 21,644.03 and 9,312.14 is: 12,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.46 : 21,644.03 = 9,312.14 : x
  2. Step 2: Convert to fraction form
    15,686.46/21,644.03 = 9,312.14/x
  3. Step 3: Cross multiply
    15,686.46x = 21,644.03 × 9,312.14
  4. Step 4: Simplify right side
    15,686.46x = 201,552,314.91
  5. Step 5: Solve for x
    x = 201,552,314.91/15,686.46
  6. Step 6: Final answer
    x = 12,848.81

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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.