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Finding the Fourth Proportional to 14,925, 22,387.50 and 5,691

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Solution

The fourth proportional to 14,925, 22,387.50 and 5,691 is: 8,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925 : 22,387.50 = 5,691 : x
  2. Step 2: Convert to fraction form
    14,925/22,387.50 = 5,691/x
  3. Step 3: Cross multiply
    14,925x = 22,387.50 × 5,691
  4. Step 4: Simplify right side
    14,925x = 127,407,262.50
  5. Step 5: Solve for x
    x = 127,407,262.50/14,925
  6. Step 6: Final answer
    x = 8,536.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.