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Finding the Fourth Proportional to 12,296.61, 18,444.87 and 4,501.17

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Solution

The fourth proportional to 12,296.61, 18,444.87 and 4,501.17 is: 6,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.61 : 18,444.87 = 4,501.17 : x
  2. Step 2: Convert to fraction form
    12,296.61/18,444.87 = 4,501.17/x
  3. Step 3: Cross multiply
    12,296.61x = 18,444.87 × 4,501.17
  4. Step 4: Simplify right side
    12,296.61x = 83,023,495.50
  5. Step 5: Solve for x
    x = 83,023,495.50/12,296.61
  6. Step 6: Final answer
    x = 6,751.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.