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Finding the Fourth Proportional to 23,429.40, 32,332.65 and 12,819

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Solution

The fourth proportional to 23,429.40, 32,332.65 and 12,819 is: 17,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429.40 : 32,332.65 = 12,819 : x
  2. Step 2: Convert to fraction form
    23,429.40/32,332.65 = 12,819/x
  3. Step 3: Cross multiply
    23,429.40x = 32,332.65 × 12,819
  4. Step 4: Simplify right side
    23,429.40x = 414,472,240.35
  5. Step 5: Solve for x
    x = 414,472,240.35/23,429.40
  6. Step 6: Final answer
    x = 17,690.26

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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.