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Finding the Fourth Proportional to 15,890.32, 23,763.88 and 12,143.20

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Solution

The fourth proportional to 15,890.32, 23,763.88 and 12,143.20 is: 18,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.32 : 23,763.88 = 12,143.20 : x
  2. Step 2: Convert to fraction form
    15,890.32/23,763.88 = 12,143.20/x
  3. Step 3: Cross multiply
    15,890.32x = 23,763.88 × 12,143.20
  4. Step 4: Simplify right side
    15,890.32x = 288,569,547.62
  5. Step 5: Solve for x
    x = 288,569,547.62/15,890.32
  6. Step 6: Final answer
    x = 18,160.08

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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.