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Finding the Fourth Proportional to 11,931.60, 17,875.80 and 9,728.40

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Solution

The fourth proportional to 11,931.60, 17,875.80 and 9,728.40 is: 14,574.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.60 : 17,875.80 = 9,728.40 : x
  2. Step 2: Convert to fraction form
    11,931.60/17,875.80 = 9,728.40/x
  3. Step 3: Cross multiply
    11,931.60x = 17,875.80 × 9,728.40
  4. Step 4: Simplify right side
    11,931.60x = 173,902,932.72
  5. Step 5: Solve for x
    x = 173,902,932.72/11,931.60
  6. Step 6: Final answer
    x = 14,574.99

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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.