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Finding the Fourth Proportional to 13,312.43, 19,971 and 4,545.29

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Solution

The fourth proportional to 13,312.43, 19,971 and 4,545.29 is: 6,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.43 : 19,971 = 4,545.29 : x
  2. Step 2: Convert to fraction form
    13,312.43/19,971 = 4,545.29/x
  3. Step 3: Cross multiply
    13,312.43x = 19,971 × 4,545.29
  4. Step 4: Simplify right side
    13,312.43x = 90,773,886.74
  5. Step 5: Solve for x
    x = 90,773,886.74/13,312.43
  6. Step 6: Final answer
    x = 6,818.73

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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.