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Finding the Fourth Proportional to 23,490.96, 32,416.29 and 13,417.41

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Solution

The fourth proportional to 23,490.96, 32,416.29 and 13,417.41 is: 18,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490.96 : 32,416.29 = 13,417.41 : x
  2. Step 2: Convert to fraction form
    23,490.96/32,416.29 = 13,417.41/x
  3. Step 3: Cross multiply
    23,490.96x = 32,416.29 × 13,417.41
  4. Step 4: Simplify right side
    23,490.96x = 434,942,653.61
  5. Step 5: Solve for x
    x = 434,942,653.61/23,490.96
  6. Step 6: Final answer
    x = 18,515.32

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Why These Related Problems?

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