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Finding the Fourth Proportional to 23,302, 34,918.92 and 14,510.16

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Solution

The fourth proportional to 23,302, 34,918.92 and 14,510.16 is: 21,744.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302 : 34,918.92 = 14,510.16 : x
  2. Step 2: Convert to fraction form
    23,302/34,918.92 = 14,510.16/x
  3. Step 3: Cross multiply
    23,302x = 34,918.92 × 14,510.16
  4. Step 4: Simplify right side
    23,302x = 506,679,116.23
  5. Step 5: Solve for x
    x = 506,679,116.23/23,302
  6. Step 6: Final answer
    x = 21,744.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.