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Finding the Fourth Proportional to 15,689.30, 21,693.87 and 15,435.83

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Solution

The fourth proportional to 15,689.30, 21,693.87 and 15,435.83 is: 21,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.30 : 21,693.87 = 15,435.83 : x
  2. Step 2: Convert to fraction form
    15,689.30/21,693.87 = 15,435.83/x
  3. Step 3: Cross multiply
    15,689.30x = 21,693.87 × 15,435.83
  4. Step 4: Simplify right side
    15,689.30x = 334,862,780.89
  5. Step 5: Solve for x
    x = 334,862,780.89/15,689.30
  6. Step 6: Final answer
    x = 21,343.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.