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Finding the Fourth Proportional to 23,199.86, 32,005.40 and 15,643.74

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Solution

The fourth proportional to 23,199.86, 32,005.40 and 15,643.74 is: 21,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.86 : 32,005.40 = 15,643.74 : x
  2. Step 2: Convert to fraction form
    23,199.86/32,005.40 = 15,643.74/x
  3. Step 3: Cross multiply
    23,199.86x = 32,005.40 × 15,643.74
  4. Step 4: Simplify right side
    23,199.86x = 500,684,156.20
  5. Step 5: Solve for x
    x = 500,684,156.20/23,199.86
  6. Step 6: Final answer
    x = 21,581.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.