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Finding the Fourth Proportional to 15,614.34, 23,276.91 and 15,374.58

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Solution

The fourth proportional to 15,614.34, 23,276.91 and 15,374.58 is: 22,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.34 : 23,276.91 = 15,374.58 : x
  2. Step 2: Convert to fraction form
    15,614.34/23,276.91 = 15,374.58/x
  3. Step 3: Cross multiply
    15,614.34x = 23,276.91 × 15,374.58
  4. Step 4: Simplify right side
    15,614.34x = 357,872,714.95
  5. Step 5: Solve for x
    x = 357,872,714.95/15,614.34
  6. Step 6: Final answer
    x = 22,919.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.