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Finding the Fourth Proportional to 21,423.14, 32,128.54 and 7,382.60

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Solution

The fourth proportional to 21,423.14, 32,128.54 and 7,382.60 is: 11,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.14 : 32,128.54 = 7,382.60 : x
  2. Step 2: Convert to fraction form
    21,423.14/32,128.54 = 7,382.60/x
  3. Step 3: Cross multiply
    21,423.14x = 32,128.54 × 7,382.60
  4. Step 4: Simplify right side
    21,423.14x = 237,192,159.40
  5. Step 5: Solve for x
    x = 237,192,159.40/21,423.14
  6. Step 6: Final answer
    x = 11,071.77

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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.