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Finding the Fourth Proportional to 23,502.71, 35,263.29 and 10,345.85

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Solution

The fourth proportional to 23,502.71, 35,263.29 and 10,345.85 is: 15,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.71 : 35,263.29 = 10,345.85 : x
  2. Step 2: Convert to fraction form
    23,502.71/35,263.29 = 10,345.85/x
  3. Step 3: Cross multiply
    23,502.71x = 35,263.29 × 10,345.85
  4. Step 4: Simplify right side
    23,502.71x = 364,828,708.85
  5. Step 5: Solve for x
    x = 364,828,708.85/23,502.71
  6. Step 6: Final answer
    x = 15,522.84

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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.