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Finding the Fourth Proportional to 13,567.97, 18,726.05 and 9,315.55

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Solution

The fourth proportional to 13,567.97, 18,726.05 and 9,315.55 is: 12,857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.97 : 18,726.05 = 9,315.55 : x
  2. Step 2: Convert to fraction form
    13,567.97/18,726.05 = 9,315.55/x
  3. Step 3: Cross multiply
    13,567.97x = 18,726.05 × 9,315.55
  4. Step 4: Simplify right side
    13,567.97x = 174,443,455.08
  5. Step 5: Solve for x
    x = 174,443,455.08/13,567.97
  6. Step 6: Final answer
    x = 12,857.00

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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.