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Finding the Fourth Proportional to 25,547.76, 38,322.72 and 8,909.46

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Solution

The fourth proportional to 25,547.76, 38,322.72 and 8,909.46 is: 13,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,547.76 : 38,322.72 = 8,909.46 : x
  2. Step 2: Convert to fraction form
    25,547.76/38,322.72 = 8,909.46/x
  3. Step 3: Cross multiply
    25,547.76x = 38,322.72 × 8,909.46
  4. Step 4: Simplify right side
    25,547.76x = 341,434,740.93
  5. Step 5: Solve for x
    x = 341,434,740.93/25,547.76
  6. Step 6: Final answer
    x = 13,364.57

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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.