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Finding the Fourth Proportional to 23,486.29, 32,411.35 and 13,416.06

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Solution

The fourth proportional to 23,486.29, 32,411.35 and 13,416.06 is: 18,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.29 : 32,411.35 = 13,416.06 : x
  2. Step 2: Convert to fraction form
    23,486.29/32,411.35 = 13,416.06/x
  3. Step 3: Cross multiply
    23,486.29x = 32,411.35 × 13,416.06
  4. Step 4: Simplify right side
    23,486.29x = 434,832,549.20
  5. Step 5: Solve for x
    x = 434,832,549.20/23,486.29
  6. Step 6: Final answer
    x = 18,514.31

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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.