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Finding the Fourth Proportional to 14,904.60, 22,367.14 and 6,139.50

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Solution

The fourth proportional to 14,904.60, 22,367.14 and 6,139.50 is: 9,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.60 : 22,367.14 = 6,139.50 : x
  2. Step 2: Convert to fraction form
    14,904.60/22,367.14 = 6,139.50/x
  3. Step 3: Cross multiply
    14,904.60x = 22,367.14 × 6,139.50
  4. Step 4: Simplify right side
    14,904.60x = 137,323,056.03
  5. Step 5: Solve for x
    x = 137,323,056.03/14,904.60
  6. Step 6: Final answer
    x = 9,213.47

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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.