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Finding the Fourth Proportional to 21,461.95, 29,632.16 and 13,407.87

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Solution

The fourth proportional to 21,461.95, 29,632.16 and 13,407.87 is: 18,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.95 : 29,632.16 = 13,407.87 : x
  2. Step 2: Convert to fraction form
    21,461.95/29,632.16 = 13,407.87/x
  3. Step 3: Cross multiply
    21,461.95x = 29,632.16 × 13,407.87
  4. Step 4: Simplify right side
    21,461.95x = 397,304,000.94
  5. Step 5: Solve for x
    x = 397,304,000.94/21,461.95
  6. Step 6: Final answer
    x = 18,512.02

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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.