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Finding the Fourth Proportional to 25,232.58, 37,854.27 and 7,701.84

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Solution

The fourth proportional to 25,232.58, 37,854.27 and 7,701.84 is: 11,554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,232.58 : 37,854.27 = 7,701.84 : x
  2. Step 2: Convert to fraction form
    25,232.58/37,854.27 = 7,701.84/x
  3. Step 3: Cross multiply
    25,232.58x = 37,854.27 × 7,701.84
  4. Step 4: Simplify right side
    25,232.58x = 291,547,530.86
  5. Step 5: Solve for x
    x = 291,547,530.86/25,232.58
  6. Step 6: Final answer
    x = 11,554.41

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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.