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Finding the Fourth Proportional to 15,488.65, 21,374.36 and 8,415.07

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Solution

The fourth proportional to 15,488.65, 21,374.36 and 8,415.07 is: 11,612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488.65 : 21,374.36 = 8,415.07 : x
  2. Step 2: Convert to fraction form
    15,488.65/21,374.36 = 8,415.07/x
  3. Step 3: Cross multiply
    15,488.65x = 21,374.36 × 8,415.07
  4. Step 4: Simplify right side
    15,488.65x = 179,866,735.61
  5. Step 5: Solve for x
    x = 179,866,735.61/15,488.65
  6. Step 6: Final answer
    x = 11,612.81

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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.