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Finding the Fourth Proportional to 25,701.42, 38,547.84 and 9,057.54

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Solution

The fourth proportional to 25,701.42, 38,547.84 and 9,057.54 is: 13,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.42 : 38,547.84 = 9,057.54 : x
  2. Step 2: Convert to fraction form
    25,701.42/38,547.84 = 9,057.54/x
  3. Step 3: Cross multiply
    25,701.42x = 38,547.84 × 9,057.54
  4. Step 4: Simplify right side
    25,701.42x = 349,148,602.71
  5. Step 5: Solve for x
    x = 349,148,602.71/25,701.42
  6. Step 6: Final answer
    x = 13,584.80

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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.