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Finding the Fourth Proportional to 25,447.80, 38,159.54 and 11,407.94

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Solution

The fourth proportional to 25,447.80, 38,159.54 and 11,407.94 is: 17,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,447.80 : 38,159.54 = 11,407.94 : x
  2. Step 2: Convert to fraction form
    25,447.80/38,159.54 = 11,407.94/x
  3. Step 3: Cross multiply
    25,447.80x = 38,159.54 × 11,407.94
  4. Step 4: Simplify right side
    25,447.80x = 435,321,742.75
  5. Step 5: Solve for x
    x = 435,321,742.75/25,447.80
  6. Step 6: Final answer
    x = 17,106.46

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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.