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Finding the Fourth Proportional to 14,316.39, 21,477.71 and 5,882.94

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Solution

The fourth proportional to 14,316.39, 21,477.71 and 5,882.94 is: 8,825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.39 : 21,477.71 = 5,882.94 : x
  2. Step 2: Convert to fraction form
    14,316.39/21,477.71 = 5,882.94/x
  3. Step 3: Cross multiply
    14,316.39x = 21,477.71 × 5,882.94
  4. Step 4: Simplify right side
    14,316.39x = 126,352,159.04
  5. Step 5: Solve for x
    x = 126,352,159.04/14,316.39
  6. Step 6: Final answer
    x = 8,825.70

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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.