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Finding the Fourth Proportional to 17,460, 26,190.24 and 9,684

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Solution

The fourth proportional to 17,460, 26,190.24 and 9,684 is: 14,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460 : 26,190.24 = 9,684 : x
  2. Step 2: Convert to fraction form
    17,460/26,190.24 = 9,684/x
  3. Step 3: Cross multiply
    17,460x = 26,190.24 × 9,684
  4. Step 4: Simplify right side
    17,460x = 253,626,284.16
  5. Step 5: Solve for x
    x = 253,626,284.16/17,460
  6. Step 6: Final answer
    x = 14,526.13

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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.