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Finding the Fourth Proportional to 12,235.60, 16,885.50 and 6,931.18

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Solution

The fourth proportional to 12,235.60, 16,885.50 and 6,931.18 is: 9,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.60 : 16,885.50 = 6,931.18 : x
  2. Step 2: Convert to fraction form
    12,235.60/16,885.50 = 6,931.18/x
  3. Step 3: Cross multiply
    12,235.60x = 16,885.50 × 6,931.18
  4. Step 4: Simplify right side
    12,235.60x = 117,036,439.89
  5. Step 5: Solve for x
    x = 117,036,439.89/12,235.60
  6. Step 6: Final answer
    x = 9,565.24

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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.