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Finding the Fourth Proportional to 15,508.64, 21,401.46 and 8,434.88

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Solution

The fourth proportional to 15,508.64, 21,401.46 and 8,434.88 is: 11,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.64 : 21,401.46 = 8,434.88 : x
  2. Step 2: Convert to fraction form
    15,508.64/21,401.46 = 8,434.88/x
  3. Step 3: Cross multiply
    15,508.64x = 21,401.46 × 8,434.88
  4. Step 4: Simplify right side
    15,508.64x = 180,518,746.92
  5. Step 5: Solve for x
    x = 180,518,746.92/15,508.64
  6. Step 6: Final answer
    x = 11,639.88

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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.