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Finding the Fourth Proportional to 23,874.29, 35,802.96 and 7,002.59

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Solution

The fourth proportional to 23,874.29, 35,802.96 and 7,002.59 is: 10,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.29 : 35,802.96 = 7,002.59 : x
  2. Step 2: Convert to fraction form
    23,874.29/35,802.96 = 7,002.59/x
  3. Step 3: Cross multiply
    23,874.29x = 35,802.96 × 7,002.59
  4. Step 4: Simplify right side
    23,874.29x = 250,713,449.67
  5. Step 5: Solve for x
    x = 250,713,449.67/23,874.29
  6. Step 6: Final answer
    x = 10,501.40

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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.