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Finding the Fourth Proportional to 28,122.60, 42,184.66 and 12,319.50

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Solution

The fourth proportional to 28,122.60, 42,184.66 and 12,319.50 is: 18,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,122.60 : 42,184.66 = 12,319.50 : x
  2. Step 2: Convert to fraction form
    28,122.60/42,184.66 = 12,319.50/x
  3. Step 3: Cross multiply
    28,122.60x = 42,184.66 × 12,319.50
  4. Step 4: Simplify right side
    28,122.60x = 519,693,888.07
  5. Step 5: Solve for x
    x = 519,693,888.07/28,122.60
  6. Step 6: Final answer
    x = 18,479.58

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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.