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Finding the Fourth Proportional to 23,565.87, 35,354 and 7,770.27

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Solution

The fourth proportional to 23,565.87, 35,354 and 7,770.27 is: 11,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.87 : 35,354 = 7,770.27 : x
  2. Step 2: Convert to fraction form
    23,565.87/35,354 = 7,770.27/x
  3. Step 3: Cross multiply
    23,565.87x = 35,354 × 7,770.27
  4. Step 4: Simplify right side
    23,565.87x = 274,710,125.58
  5. Step 5: Solve for x
    x = 274,710,125.58/23,565.87
  6. Step 6: Final answer
    x = 11,657.12

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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.