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Finding the Fourth Proportional to 25,894.78, 38,810.35 and 13,407.69

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Solution

The fourth proportional to 25,894.78, 38,810.35 and 13,407.69 is: 20,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,894.78 : 38,810.35 = 13,407.69 : x
  2. Step 2: Convert to fraction form
    25,894.78/38,810.35 = 13,407.69/x
  3. Step 3: Cross multiply
    25,894.78x = 38,810.35 × 13,407.69
  4. Step 4: Simplify right side
    25,894.78x = 520,357,141.59
  5. Step 5: Solve for x
    x = 520,357,141.59/25,894.78
  6. Step 6: Final answer
    x = 20,095.06

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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.