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Finding the Fourth Proportional to 17,945.30, 24,765 and 9,988.40

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Solution

The fourth proportional to 17,945.30, 24,765 and 9,988.40 is: 13,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,945.30 : 24,765 = 9,988.40 : x
  2. Step 2: Convert to fraction form
    17,945.30/24,765 = 9,988.40/x
  3. Step 3: Cross multiply
    17,945.30x = 24,765 × 9,988.40
  4. Step 4: Simplify right side
    17,945.30x = 247,362,726
  5. Step 5: Solve for x
    x = 247,362,726/17,945.30
  6. Step 6: Final answer
    x = 13,784.26

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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.