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Finding the Fourth Proportional to 23,557.84, 32,508.16 and 12,948.16

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Solution

The fourth proportional to 23,557.84, 32,508.16 and 12,948.16 is: 17,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.84 : 32,508.16 = 12,948.16 : x
  2. Step 2: Convert to fraction form
    23,557.84/32,508.16 = 12,948.16/x
  3. Step 3: Cross multiply
    23,557.84x = 32,508.16 × 12,948.16
  4. Step 4: Simplify right side
    23,557.84x = 420,920,856.99
  5. Step 5: Solve for x
    x = 420,920,856.99/23,557.84
  6. Step 6: Final answer
    x = 17,867.55

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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.