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Finding the Fourth Proportional to 23,202.48, 32,017.50 and 13,130.40

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Solution

The fourth proportional to 23,202.48, 32,017.50 and 13,130.40 is: 18,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.48 : 32,017.50 = 13,130.40 : x
  2. Step 2: Convert to fraction form
    23,202.48/32,017.50 = 13,130.40/x
  3. Step 3: Cross multiply
    23,202.48x = 32,017.50 × 13,130.40
  4. Step 4: Simplify right side
    23,202.48x = 420,402,582
  5. Step 5: Solve for x
    x = 420,402,582/23,202.48
  6. Step 6: Final answer
    x = 18,118.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.