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Finding the Fourth Proportional to 14,197.59, 19,582.25 and 9,159.25

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Solution

The fourth proportional to 14,197.59, 19,582.25 and 9,159.25 is: 12,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.59 : 19,582.25 = 9,159.25 : x
  2. Step 2: Convert to fraction form
    14,197.59/19,582.25 = 9,159.25/x
  3. Step 3: Cross multiply
    14,197.59x = 19,582.25 × 9,159.25
  4. Step 4: Simplify right side
    14,197.59x = 179,358,723.31
  5. Step 5: Solve for x
    x = 179,358,723.31/14,197.59
  6. Step 6: Final answer
    x = 12,633.04

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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.