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Finding the Fourth Proportional to 21,970.32, 30,318.89 and 11,898.53

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Solution

The fourth proportional to 21,970.32, 30,318.89 and 11,898.53 is: 16,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.32 : 30,318.89 = 11,898.53 : x
  2. Step 2: Convert to fraction form
    21,970.32/30,318.89 = 11,898.53/x
  3. Step 3: Cross multiply
    21,970.32x = 30,318.89 × 11,898.53
  4. Step 4: Simplify right side
    21,970.32x = 360,750,222.23
  5. Step 5: Solve for x
    x = 360,750,222.23/21,970.32
  6. Step 6: Final answer
    x = 16,419.89

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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.