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Finding the Fourth Proportional to 23,488.65, 32,412.15 and 12,878.46

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Solution

The fourth proportional to 23,488.65, 32,412.15 and 12,878.46 is: 17,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.65 : 32,412.15 = 12,878.46 : x
  2. Step 2: Convert to fraction form
    23,488.65/32,412.15 = 12,878.46/x
  3. Step 3: Cross multiply
    23,488.65x = 32,412.15 × 12,878.46
  4. Step 4: Simplify right side
    23,488.65x = 417,418,577.29
  5. Step 5: Solve for x
    x = 417,418,577.29/23,488.65
  6. Step 6: Final answer
    x = 17,771.08

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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.