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Finding the Fourth Proportional to 16,289.76, 22,478.88 and 9,218.40

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Solution

The fourth proportional to 16,289.76, 22,478.88 and 9,218.40 is: 12,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.76 : 22,478.88 = 9,218.40 : x
  2. Step 2: Convert to fraction form
    16,289.76/22,478.88 = 9,218.40/x
  3. Step 3: Cross multiply
    16,289.76x = 22,478.88 × 9,218.40
  4. Step 4: Simplify right side
    16,289.76x = 207,219,307.39
  5. Step 5: Solve for x
    x = 207,219,307.39/16,289.76
  6. Step 6: Final answer
    x = 12,720.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.