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Finding the Fourth Proportional to 25,851.59, 38,775.85 and 9,210.74

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Solution

The fourth proportional to 25,851.59, 38,775.85 and 9,210.74 is: 13,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.59 : 38,775.85 = 9,210.74 : x
  2. Step 2: Convert to fraction form
    25,851.59/38,775.85 = 9,210.74/x
  3. Step 3: Cross multiply
    25,851.59x = 38,775.85 × 9,210.74
  4. Step 4: Simplify right side
    25,851.59x = 357,154,226.58
  5. Step 5: Solve for x
    x = 357,154,226.58/25,851.59
  6. Step 6: Final answer
    x = 13,815.56

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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.