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Finding the Fourth Proportional to 23,574.60, 32,531.70 and 12,962.16

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Solution

The fourth proportional to 23,574.60, 32,531.70 and 12,962.16 is: 17,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.60 : 32,531.70 = 12,962.16 : x
  2. Step 2: Convert to fraction form
    23,574.60/32,531.70 = 12,962.16/x
  3. Step 3: Cross multiply
    23,574.60x = 32,531.70 × 12,962.16
  4. Step 4: Simplify right side
    23,574.60x = 421,681,100.47
  5. Step 5: Solve for x
    x = 421,681,100.47/23,574.60
  6. Step 6: Final answer
    x = 17,887.09

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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.