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Finding the Fourth Proportional to 15,534.71, 21,438.12 and 8,461.13

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Solution

The fourth proportional to 15,534.71, 21,438.12 and 8,461.13 is: 11,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.71 : 21,438.12 = 8,461.13 : x
  2. Step 2: Convert to fraction form
    15,534.71/21,438.12 = 8,461.13/x
  3. Step 3: Cross multiply
    15,534.71x = 21,438.12 × 8,461.13
  4. Step 4: Simplify right side
    15,534.71x = 181,390,644.81
  5. Step 5: Solve for x
    x = 181,390,644.81/15,534.71
  6. Step 6: Final answer
    x = 11,676.48

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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.