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Finding the Fourth Proportional to 12,348.80, 18,499.93 and 6,101.50

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Solution

The fourth proportional to 12,348.80, 18,499.93 and 6,101.50 is: 9,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.80 : 18,499.93 = 6,101.50 : x
  2. Step 2: Convert to fraction form
    12,348.80/18,499.93 = 6,101.50/x
  3. Step 3: Cross multiply
    12,348.80x = 18,499.93 × 6,101.50
  4. Step 4: Simplify right side
    12,348.80x = 112,877,322.90
  5. Step 5: Solve for x
    x = 112,877,322.90/12,348.80
  6. Step 6: Final answer
    x = 9,140.75

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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.