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Finding the Fourth Proportional to 14,699.31, 20,288.24 and 9,038.91

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Solution

The fourth proportional to 14,699.31, 20,288.24 and 9,038.91 is: 12,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.31 : 20,288.24 = 9,038.91 : x
  2. Step 2: Convert to fraction form
    14,699.31/20,288.24 = 9,038.91/x
  3. Step 3: Cross multiply
    14,699.31x = 20,288.24 × 9,038.91
  4. Step 4: Simplify right side
    14,699.31x = 183,383,575.42
  5. Step 5: Solve for x
    x = 183,383,575.42/14,699.31
  6. Step 6: Final answer
    x = 12,475.66

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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.