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Finding the Fourth Proportional to 19,378.90, 29,069.16 and 11,570.50

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Solution

The fourth proportional to 19,378.90, 29,069.16 and 11,570.50 is: 17,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,378.90 : 29,069.16 = 11,570.50 : x
  2. Step 2: Convert to fraction form
    19,378.90/29,069.16 = 11,570.50/x
  3. Step 3: Cross multiply
    19,378.90x = 29,069.16 × 11,570.50
  4. Step 4: Simplify right side
    19,378.90x = 336,344,715.78
  5. Step 5: Solve for x
    x = 336,344,715.78/19,378.90
  6. Step 6: Final answer
    x = 17,356.23

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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.