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Finding the Fourth Proportional to 23,582.65, 32,543.88 and 12,972.05

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Solution

The fourth proportional to 23,582.65, 32,543.88 and 12,972.05 is: 17,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.65 : 32,543.88 = 12,972.05 : x
  2. Step 2: Convert to fraction form
    23,582.65/32,543.88 = 12,972.05/x
  3. Step 3: Cross multiply
    23,582.65x = 32,543.88 × 12,972.05
  4. Step 4: Simplify right side
    23,582.65x = 422,160,773.69
  5. Step 5: Solve for x
    x = 422,160,773.69/23,582.65
  6. Step 6: Final answer
    x = 17,901.33

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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.