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Finding the Fourth Proportional to 13,507.76, 20,259.28 and 6,110.48

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Solution

The fourth proportional to 13,507.76, 20,259.28 and 6,110.48 is: 9,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.76 : 20,259.28 = 6,110.48 : x
  2. Step 2: Convert to fraction form
    13,507.76/20,259.28 = 6,110.48/x
  3. Step 3: Cross multiply
    13,507.76x = 20,259.28 × 6,110.48
  4. Step 4: Simplify right side
    13,507.76x = 123,793,925.25
  5. Step 5: Solve for x
    x = 123,793,925.25/13,507.76
  6. Step 6: Final answer
    x = 9,164.65

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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.