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Finding the Fourth Proportional to 21,710.12, 32,565.18 and 7,859.24

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Solution

The fourth proportional to 21,710.12, 32,565.18 and 7,859.24 is: 11,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.12 : 32,565.18 = 7,859.24 : x
  2. Step 2: Convert to fraction form
    21,710.12/32,565.18 = 7,859.24/x
  3. Step 3: Cross multiply
    21,710.12x = 32,565.18 × 7,859.24
  4. Step 4: Simplify right side
    21,710.12x = 255,937,565.26
  5. Step 5: Solve for x
    x = 255,937,565.26/21,710.12
  6. Step 6: Final answer
    x = 11,788.86

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