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Finding the Fourth Proportional to 12,913.16, 19,376.28 and 9,632.84

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Solution

The fourth proportional to 12,913.16, 19,376.28 and 9,632.84 is: 14,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.16 : 19,376.28 = 9,632.84 : x
  2. Step 2: Convert to fraction form
    12,913.16/19,376.28 = 9,632.84/x
  3. Step 3: Cross multiply
    12,913.16x = 19,376.28 × 9,632.84
  4. Step 4: Simplify right side
    12,913.16x = 186,648,605.04
  5. Step 5: Solve for x
    x = 186,648,605.04/12,913.16
  6. Step 6: Final answer
    x = 14,454.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.