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Finding the Fourth Proportional to 13,158.64, 19,702.59 and 10,023.71

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Solution

The fourth proportional to 13,158.64, 19,702.59 and 10,023.71 is: 15,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.64 : 19,702.59 = 10,023.71 : x
  2. Step 2: Convert to fraction form
    13,158.64/19,702.59 = 10,023.71/x
  3. Step 3: Cross multiply
    13,158.64x = 19,702.59 × 10,023.71
  4. Step 4: Simplify right side
    13,158.64x = 197,492,998.29
  5. Step 5: Solve for x
    x = 197,492,998.29/13,158.64
  6. Step 6: Final answer
    x = 15,008.62

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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.