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Finding the Fourth Proportional to 25,507.64, 38,265.40 and 13,020.90

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Solution

The fourth proportional to 25,507.64, 38,265.40 and 13,020.90 is: 19,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.64 : 38,265.40 = 13,020.90 : x
  2. Step 2: Convert to fraction form
    25,507.64/38,265.40 = 13,020.90/x
  3. Step 3: Cross multiply
    25,507.64x = 38,265.40 × 13,020.90
  4. Step 4: Simplify right side
    25,507.64x = 498,249,946.86
  5. Step 5: Solve for x
    x = 498,249,946.86/25,507.64
  6. Step 6: Final answer
    x = 19,533.36

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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.