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Finding the Fourth Proportional to 13,248.24, 19,877.40 and 8,312.40

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Solution

The fourth proportional to 13,248.24, 19,877.40 and 8,312.40 is: 12,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248.24 : 19,877.40 = 8,312.40 : x
  2. Step 2: Convert to fraction form
    13,248.24/19,877.40 = 8,312.40/x
  3. Step 3: Cross multiply
    13,248.24x = 19,877.40 × 8,312.40
  4. Step 4: Simplify right side
    13,248.24x = 165,228,899.76
  5. Step 5: Solve for x
    x = 165,228,899.76/13,248.24
  6. Step 6: Final answer
    x = 12,471.76

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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.