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Finding the Fourth Proportional to 17,875.98, 24,668.64 and 9,918.12

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Solution

The fourth proportional to 17,875.98, 24,668.64 and 9,918.12 is: 13,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.98 : 24,668.64 = 9,918.12 : x
  2. Step 2: Convert to fraction form
    17,875.98/24,668.64 = 9,918.12/x
  3. Step 3: Cross multiply
    17,875.98x = 24,668.64 × 9,918.12
  4. Step 4: Simplify right side
    17,875.98x = 244,666,531.76
  5. Step 5: Solve for x
    x = 244,666,531.76/17,875.98
  6. Step 6: Final answer
    x = 13,686.89

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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.