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Finding the Fourth Proportional to 23,598, 32,565.24 and 14,166.63

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Solution

The fourth proportional to 23,598, 32,565.24 and 14,166.63 is: 19,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 32,565.24 = 14,166.63 : x
  2. Step 2: Convert to fraction form
    23,598/32,565.24 = 14,166.63/x
  3. Step 3: Cross multiply
    23,598x = 32,565.24 × 14,166.63
  4. Step 4: Simplify right side
    23,598x = 461,339,705.94
  5. Step 5: Solve for x
    x = 461,339,705.94/23,598
  6. Step 6: Final answer
    x = 19,549.95

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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.