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Finding the Fourth Proportional to 23,514.84, 35,263.34 and 9,470.10

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Solution

The fourth proportional to 23,514.84, 35,263.34 and 9,470.10 is: 14,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.84 : 35,263.34 = 9,470.10 : x
  2. Step 2: Convert to fraction form
    23,514.84/35,263.34 = 9,470.10/x
  3. Step 3: Cross multiply
    23,514.84x = 35,263.34 × 9,470.10
  4. Step 4: Simplify right side
    23,514.84x = 333,947,356.13
  5. Step 5: Solve for x
    x = 333,947,356.13/23,514.84
  6. Step 6: Final answer
    x = 14,201.56

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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.