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Finding the Fourth Proportional to 19,381.13, 29,071.81 and 6,901.64

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Solution

The fourth proportional to 19,381.13, 29,071.81 and 6,901.64 is: 10,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,381.13 : 29,071.81 = 6,901.64 : x
  2. Step 2: Convert to fraction form
    19,381.13/29,071.81 = 6,901.64/x
  3. Step 3: Cross multiply
    19,381.13x = 29,071.81 × 6,901.64
  4. Step 4: Simplify right side
    19,381.13x = 200,643,248.07
  5. Step 5: Solve for x
    x = 200,643,248.07/19,381.13
  6. Step 6: Final answer
    x = 10,352.50

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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.