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Finding the Fourth Proportional to 12,225.32, 16,869.47 and 6,848.03

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Solution

The fourth proportional to 12,225.32, 16,869.47 and 6,848.03 is: 9,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.32 : 16,869.47 = 6,848.03 : x
  2. Step 2: Convert to fraction form
    12,225.32/16,869.47 = 6,848.03/x
  3. Step 3: Cross multiply
    12,225.32x = 16,869.47 × 6,848.03
  4. Step 4: Simplify right side
    12,225.32x = 115,522,518.06
  5. Step 5: Solve for x
    x = 115,522,518.06/12,225.32
  6. Step 6: Final answer
    x = 9,449.45

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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.