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Finding the Fourth Proportional to 14,251.77, 21,357 and 9,804.87

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Solution

The fourth proportional to 14,251.77, 21,357 and 9,804.87 is: 14,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.77 : 21,357 = 9,804.87 : x
  2. Step 2: Convert to fraction form
    14,251.77/21,357 = 9,804.87/x
  3. Step 3: Cross multiply
    14,251.77x = 21,357 × 9,804.87
  4. Step 4: Simplify right side
    14,251.77x = 209,402,608.59
  5. Step 5: Solve for x
    x = 209,402,608.59/14,251.77
  6. Step 6: Final answer
    x = 14,693.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.