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Finding the Fourth Proportional to 22,987.68, 31,724.36 and 17,312.42

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Solution

The fourth proportional to 22,987.68, 31,724.36 and 17,312.42 is: 23,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987.68 : 31,724.36 = 17,312.42 : x
  2. Step 2: Convert to fraction form
    22,987.68/31,724.36 = 17,312.42/x
  3. Step 3: Cross multiply
    22,987.68x = 31,724.36 × 17,312.42
  4. Step 4: Simplify right side
    22,987.68x = 549,225,199.37
  5. Step 5: Solve for x
    x = 549,225,199.37/22,987.68
  6. Step 6: Final answer
    x = 23,892.15

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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.