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Finding the Fourth Proportional to 12,448.32, 17,178.08 and 6,859.20

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Solution

The fourth proportional to 12,448.32, 17,178.08 and 6,859.20 is: 9,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.32 : 17,178.08 = 6,859.20 : x
  2. Step 2: Convert to fraction form
    12,448.32/17,178.08 = 6,859.20/x
  3. Step 3: Cross multiply
    12,448.32x = 17,178.08 × 6,859.20
  4. Step 4: Simplify right side
    12,448.32x = 117,827,886.34
  5. Step 5: Solve for x
    x = 117,827,886.34/12,448.32
  6. Step 6: Final answer
    x = 9,465.36

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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.