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Finding the Fourth Proportional to 12,807.12, 17,698.32 and 10,448.40

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Solution

The fourth proportional to 12,807.12, 17,698.32 and 10,448.40 is: 14,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.12 : 17,698.32 = 10,448.40 : x
  2. Step 2: Convert to fraction form
    12,807.12/17,698.32 = 10,448.40/x
  3. Step 3: Cross multiply
    12,807.12x = 17,698.32 × 10,448.40
  4. Step 4: Simplify right side
    12,807.12x = 184,919,126.69
  5. Step 5: Solve for x
    x = 184,919,126.69/12,807.12
  6. Step 6: Final answer
    x = 14,438.78

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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.