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Finding the Fourth Proportional to 25,782.34, 38,617.35 and 15,924.10

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Solution

The fourth proportional to 25,782.34, 38,617.35 and 15,924.10 is: 23,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.34 : 38,617.35 = 15,924.10 : x
  2. Step 2: Convert to fraction form
    25,782.34/38,617.35 = 15,924.10/x
  3. Step 3: Cross multiply
    25,782.34x = 38,617.35 × 15,924.10
  4. Step 4: Simplify right side
    25,782.34x = 614,946,543.14
  5. Step 5: Solve for x
    x = 614,946,543.14/25,782.34
  6. Step 6: Final answer
    x = 23,851.46

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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.