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Finding the Fourth Proportional to 23,269.10, 32,110.98 and 12,659

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Solution

The fourth proportional to 23,269.10, 32,110.98 and 12,659 is: 17,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.10 : 32,110.98 = 12,659 : x
  2. Step 2: Convert to fraction form
    23,269.10/32,110.98 = 12,659/x
  3. Step 3: Cross multiply
    23,269.10x = 32,110.98 × 12,659
  4. Step 4: Simplify right side
    23,269.10x = 406,492,895.82
  5. Step 5: Solve for x
    x = 406,492,895.82/23,269.10
  6. Step 6: Final answer
    x = 17,469.21

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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.