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Finding the Fourth Proportional to 19,828.69, 27,368.38 and 13,465.90

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Solution

The fourth proportional to 19,828.69, 27,368.38 and 13,465.90 is: 18,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.69 : 27,368.38 = 13,465.90 : x
  2. Step 2: Convert to fraction form
    19,828.69/27,368.38 = 13,465.90/x
  3. Step 3: Cross multiply
    19,828.69x = 27,368.38 × 13,465.90
  4. Step 4: Simplify right side
    19,828.69x = 368,539,868.24
  5. Step 5: Solve for x
    x = 368,539,868.24/19,828.69
  6. Step 6: Final answer
    x = 18,586.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.