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Finding the Fourth Proportional to 13,055.18, 19,585.56 and 5,264

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Solution

The fourth proportional to 13,055.18, 19,585.56 and 5,264 is: 7,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,055.18 : 19,585.56 = 5,264 : x
  2. Step 2: Convert to fraction form
    13,055.18/19,585.56 = 5,264/x
  3. Step 3: Cross multiply
    13,055.18x = 19,585.56 × 5,264
  4. Step 4: Simplify right side
    13,055.18x = 103,098,387.84
  5. Step 5: Solve for x
    x = 103,098,387.84/13,055.18
  6. Step 6: Final answer
    x = 7,897.12

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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.