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Finding the Fourth Proportional to 14,154.12, 19,498.92 and 9,897.22

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Solution

The fourth proportional to 14,154.12, 19,498.92 and 9,897.22 is: 13,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.12 : 19,498.92 = 9,897.22 : x
  2. Step 2: Convert to fraction form
    14,154.12/19,498.92 = 9,897.22/x
  3. Step 3: Cross multiply
    14,154.12x = 19,498.92 × 9,897.22
  4. Step 4: Simplify right side
    14,154.12x = 192,985,101.00
  5. Step 5: Solve for x
    x = 192,985,101.00/14,154.12
  6. Step 6: Final answer
    x = 13,634.55

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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.