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Finding the Fourth Proportional to 17,422.56, 24,032.70 and 16,256.16

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Solution

The fourth proportional to 17,422.56, 24,032.70 and 16,256.16 is: 22,423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.56 : 24,032.70 = 16,256.16 : x
  2. Step 2: Convert to fraction form
    17,422.56/24,032.70 = 16,256.16/x
  3. Step 3: Cross multiply
    17,422.56x = 24,032.70 × 16,256.16
  4. Step 4: Simplify right side
    17,422.56x = 390,679,416.43
  5. Step 5: Solve for x
    x = 390,679,416.43/17,422.56
  6. Step 6: Final answer
    x = 22,423.77

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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.