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Finding the Fourth Proportional to 12,864.07, 17,748.48 and 8,386.21

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Solution

The fourth proportional to 12,864.07, 17,748.48 and 8,386.21 is: 11,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.07 : 17,748.48 = 8,386.21 : x
  2. Step 2: Convert to fraction form
    12,864.07/17,748.48 = 8,386.21/x
  3. Step 3: Cross multiply
    12,864.07x = 17,748.48 × 8,386.21
  4. Step 4: Simplify right side
    12,864.07x = 148,842,480.46
  5. Step 5: Solve for x
    x = 148,842,480.46/12,864.07
  6. Step 6: Final answer
    x = 11,570.40

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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.