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Finding the Fourth Proportional to 15,909.75, 23,841.95 and 7,582.95

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Solution

The fourth proportional to 15,909.75, 23,841.95 and 7,582.95 is: 11,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.75 : 23,841.95 = 7,582.95 : x
  2. Step 2: Convert to fraction form
    15,909.75/23,841.95 = 7,582.95/x
  3. Step 3: Cross multiply
    15,909.75x = 23,841.95 × 7,582.95
  4. Step 4: Simplify right side
    15,909.75x = 180,792,276.84
  5. Step 5: Solve for x
    x = 180,792,276.84/15,909.75
  6. Step 6: Final answer
    x = 11,363.62

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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.