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Finding the Fourth Proportional to 15,488.60, 21,376.12 and 9,201

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Solution

The fourth proportional to 15,488.60, 21,376.12 and 9,201 is: 12,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488.60 : 21,376.12 = 9,201 : x
  2. Step 2: Convert to fraction form
    15,488.60/21,376.12 = 9,201/x
  3. Step 3: Cross multiply
    15,488.60x = 21,376.12 × 9,201
  4. Step 4: Simplify right side
    15,488.60x = 196,681,680.12
  5. Step 5: Solve for x
    x = 196,681,680.12/15,488.60
  6. Step 6: Final answer
    x = 12,698.48

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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.