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Finding the Fourth Proportional to 17,946.12, 24,762.69 and 9,988.14

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Solution

The fourth proportional to 17,946.12, 24,762.69 and 9,988.14 is: 13,781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.12 : 24,762.69 = 9,988.14 : x
  2. Step 2: Convert to fraction form
    17,946.12/24,762.69 = 9,988.14/x
  3. Step 3: Cross multiply
    17,946.12x = 24,762.69 × 9,988.14
  4. Step 4: Simplify right side
    17,946.12x = 247,333,214.50
  5. Step 5: Solve for x
    x = 247,333,214.50/17,946.12
  6. Step 6: Final answer
    x = 13,781.99

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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.