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Finding the Fourth Proportional to 12,374.68, 18,561.02 and 6,047.60

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Solution

The fourth proportional to 12,374.68, 18,561.02 and 6,047.60 is: 9,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.68 : 18,561.02 = 6,047.60 : x
  2. Step 2: Convert to fraction form
    12,374.68/18,561.02 = 6,047.60/x
  3. Step 3: Cross multiply
    12,374.68x = 18,561.02 × 6,047.60
  4. Step 4: Simplify right side
    12,374.68x = 112,249,624.55
  5. Step 5: Solve for x
    x = 112,249,624.55/12,374.68
  6. Step 6: Final answer
    x = 9,070.91

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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.