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Finding the Fourth Proportional to 19,577.65, 29,356.91 and 13,657.38

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Solution

The fourth proportional to 19,577.65, 29,356.91 and 13,657.38 is: 20,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.65 : 29,356.91 = 13,657.38 : x
  2. Step 2: Convert to fraction form
    19,577.65/29,356.91 = 13,657.38/x
  3. Step 3: Cross multiply
    19,577.65x = 29,356.91 × 13,657.38
  4. Step 4: Simplify right side
    19,577.65x = 400,938,475.50
  5. Step 5: Solve for x
    x = 400,938,475.50/19,577.65
  6. Step 6: Final answer
    x = 20,479.40

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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.