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Finding the Fourth Proportional to 14,083, 21,124.80 and 5,322.04

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Solution

The fourth proportional to 14,083, 21,124.80 and 5,322.04 is: 7,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083 : 21,124.80 = 5,322.04 : x
  2. Step 2: Convert to fraction form
    14,083/21,124.80 = 5,322.04/x
  3. Step 3: Cross multiply
    14,083x = 21,124.80 × 5,322.04
  4. Step 4: Simplify right side
    14,083x = 112,427,030.59
  5. Step 5: Solve for x
    x = 112,427,030.59/14,083
  6. Step 6: Final answer
    x = 7,983.17

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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.