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Finding the Fourth Proportional to 12,881.76, 19,312.92 and 5,088.48

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Solution

The fourth proportional to 12,881.76, 19,312.92 and 5,088.48 is: 7,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.76 : 19,312.92 = 5,088.48 : x
  2. Step 2: Convert to fraction form
    12,881.76/19,312.92 = 5,088.48/x
  3. Step 3: Cross multiply
    12,881.76x = 19,312.92 × 5,088.48
  4. Step 4: Simplify right side
    12,881.76x = 98,273,407.16
  5. Step 5: Solve for x
    x = 98,273,407.16/12,881.76
  6. Step 6: Final answer
    x = 7,628.88

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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.