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Finding the Fourth Proportional to 17,585, 26,363.74 and 9,254.12

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Solution

The fourth proportional to 17,585, 26,363.74 and 9,254.12 is: 13,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585 : 26,363.74 = 9,254.12 : x
  2. Step 2: Convert to fraction form
    17,585/26,363.74 = 9,254.12/x
  3. Step 3: Cross multiply
    17,585x = 26,363.74 × 9,254.12
  4. Step 4: Simplify right side
    17,585x = 243,973,213.61
  5. Step 5: Solve for x
    x = 243,973,213.61/17,585
  6. Step 6: Final answer
    x = 13,873.94

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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.