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Finding the Fourth Proportional to 21,330.53, 31,970.88 and 16,048.57

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Solution

The fourth proportional to 21,330.53, 31,970.88 and 16,048.57 is: 24,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330.53 : 31,970.88 = 16,048.57 : x
  2. Step 2: Convert to fraction form
    21,330.53/31,970.88 = 16,048.57/x
  3. Step 3: Cross multiply
    21,330.53x = 31,970.88 × 16,048.57
  4. Step 4: Simplify right side
    21,330.53x = 513,086,945.76
  5. Step 5: Solve for x
    x = 513,086,945.76/21,330.53
  6. Step 6: Final answer
    x = 24,054.11

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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.