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Finding the Fourth Proportional to 25,693.40, 38,478.54 and 13,180.52

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Solution

The fourth proportional to 25,693.40, 38,478.54 and 13,180.52 is: 19,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.40 : 38,478.54 = 13,180.52 : x
  2. Step 2: Convert to fraction form
    25,693.40/38,478.54 = 13,180.52/x
  3. Step 3: Cross multiply
    25,693.40x = 38,478.54 × 13,180.52
  4. Step 4: Simplify right side
    25,693.40x = 507,167,166.04
  5. Step 5: Solve for x
    x = 507,167,166.04/25,693.40
  6. Step 6: Final answer
    x = 19,739.20

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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.