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Finding the Fourth Proportional to 21,035.32, 31,527.02 and 11,667.40

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Solution

The fourth proportional to 21,035.32, 31,527.02 and 11,667.40 is: 17,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.32 : 31,527.02 = 11,667.40 : x
  2. Step 2: Convert to fraction form
    21,035.32/31,527.02 = 11,667.40/x
  3. Step 3: Cross multiply
    21,035.32x = 31,527.02 × 11,667.40
  4. Step 4: Simplify right side
    21,035.32x = 367,838,353.15
  5. Step 5: Solve for x
    x = 367,838,353.15/21,035.32
  6. Step 6: Final answer
    x = 17,486.70

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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.