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Finding the Fourth Proportional to 14,036.74, 19,378.49 and 9,567.06

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Solution

The fourth proportional to 14,036.74, 19,378.49 and 9,567.06 is: 13,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036.74 : 19,378.49 = 9,567.06 : x
  2. Step 2: Convert to fraction form
    14,036.74/19,378.49 = 9,567.06/x
  3. Step 3: Cross multiply
    14,036.74x = 19,378.49 × 9,567.06
  4. Step 4: Simplify right side
    14,036.74x = 185,395,218.85
  5. Step 5: Solve for x
    x = 185,395,218.85/14,036.74
  6. Step 6: Final answer
    x = 13,207.85

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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.