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Finding the Fourth Proportional to 13,564.61, 20,340.53 and 5,248.54

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Solution

The fourth proportional to 13,564.61, 20,340.53 and 5,248.54 is: 7,870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.61 : 20,340.53 = 5,248.54 : x
  2. Step 2: Convert to fraction form
    13,564.61/20,340.53 = 5,248.54/x
  3. Step 3: Cross multiply
    13,564.61x = 20,340.53 × 5,248.54
  4. Step 4: Simplify right side
    13,564.61x = 106,758,085.33
  5. Step 5: Solve for x
    x = 106,758,085.33/13,564.61
  6. Step 6: Final answer
    x = 7,870.34

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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.