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Finding the Fourth Proportional to 23,475.76, 32,385.72 and 13,534

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Solution

The fourth proportional to 23,475.76, 32,385.72 and 13,534 is: 18,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,475.76 : 32,385.72 = 13,534 : x
  2. Step 2: Convert to fraction form
    23,475.76/32,385.72 = 13,534/x
  3. Step 3: Cross multiply
    23,475.76x = 32,385.72 × 13,534
  4. Step 4: Simplify right side
    23,475.76x = 438,308,334.48
  5. Step 5: Solve for x
    x = 438,308,334.48/23,475.76
  6. Step 6: Final answer
    x = 18,670.68

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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.