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Finding the Fourth Proportional to 14,156.37, 19,535.90 and 8,854.20

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Solution

The fourth proportional to 14,156.37, 19,535.90 and 8,854.20 is: 12,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.37 : 19,535.90 = 8,854.20 : x
  2. Step 2: Convert to fraction form
    14,156.37/19,535.90 = 8,854.20/x
  3. Step 3: Cross multiply
    14,156.37x = 19,535.90 × 8,854.20
  4. Step 4: Simplify right side
    14,156.37x = 172,974,721.51
  5. Step 5: Solve for x
    x = 172,974,721.51/14,156.37
  6. Step 6: Final answer
    x = 12,218.86

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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.