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Finding the Fourth Proportional to 17,427.70, 24,050.25 and 9,470.02

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Solution

The fourth proportional to 17,427.70, 24,050.25 and 9,470.02 is: 13,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,427.70 : 24,050.25 = 9,470.02 : x
  2. Step 2: Convert to fraction form
    17,427.70/24,050.25 = 9,470.02/x
  3. Step 3: Cross multiply
    17,427.70x = 24,050.25 × 9,470.02
  4. Step 4: Simplify right side
    17,427.70x = 227,756,348.51
  5. Step 5: Solve for x
    x = 227,756,348.51/17,427.70
  6. Step 6: Final answer
    x = 13,068.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.