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Finding the Fourth Proportional to 21,708, 32,518.44 and 10,005.12

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Solution

The fourth proportional to 21,708, 32,518.44 and 10,005.12 is: 14,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708 : 32,518.44 = 10,005.12 : x
  2. Step 2: Convert to fraction form
    21,708/32,518.44 = 10,005.12/x
  3. Step 3: Cross multiply
    21,708x = 32,518.44 × 10,005.12
  4. Step 4: Simplify right side
    21,708x = 325,350,894.41
  5. Step 5: Solve for x
    x = 325,350,894.41/21,708
  6. Step 6: Final answer
    x = 14,987.60

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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.