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Finding the Fourth Proportional to 23,518.40, 32,455.04 and 12,908

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Solution

The fourth proportional to 23,518.40, 32,455.04 and 12,908 is: 17,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,518.40 : 32,455.04 = 12,908 : x
  2. Step 2: Convert to fraction form
    23,518.40/32,455.04 = 12,908/x
  3. Step 3: Cross multiply
    23,518.40x = 32,455.04 × 12,908
  4. Step 4: Simplify right side
    23,518.40x = 418,929,656.32
  5. Step 5: Solve for x
    x = 418,929,656.32/23,518.40
  6. Step 6: Final answer
    x = 17,812.85

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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.