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Finding the Fourth Proportional to 10,218.92, 14,139.43 and 8,897.00

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Solution

The fourth proportional to 10,218.92, 14,139.43 and 8,897.00 is: 12,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.92 : 14,139.43 = 8,897.00 : x
  2. Step 2: Convert to fraction form
    10,218.92/14,139.43 = 8,897.00/x
  3. Step 3: Cross multiply
    10,218.92x = 14,139.43 × 8,897.00
  4. Step 4: Simplify right side
    10,218.92x = 125,798,415.77
  5. Step 5: Solve for x
    x = 125,798,415.77/10,218.92
  6. Step 6: Final answer
    x = 12,310.35

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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.