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Finding the Fourth Proportional to 38,417.68, 57,594.84 and 12,106

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Solution

The fourth proportional to 38,417.68, 57,594.84 and 12,106 is: 18,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.68 : 57,594.84 = 12,106 : x
  2. Step 2: Convert to fraction form
    38,417.68/57,594.84 = 12,106/x
  3. Step 3: Cross multiply
    38,417.68x = 57,594.84 × 12,106
  4. Step 4: Simplify right side
    38,417.68x = 697,243,133.04
  5. Step 5: Solve for x
    x = 697,243,133.04/38,417.68
  6. Step 6: Final answer
    x = 18,149.02

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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.