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Finding the Fourth Proportional to 19,322.40, 29,048.40 and 16,471.20

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Solution

The fourth proportional to 19,322.40, 29,048.40 and 16,471.20 is: 24,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.40 : 29,048.40 = 16,471.20 : x
  2. Step 2: Convert to fraction form
    19,322.40/29,048.40 = 16,471.20/x
  3. Step 3: Cross multiply
    19,322.40x = 29,048.40 × 16,471.20
  4. Step 4: Simplify right side
    19,322.40x = 478,462,006.08
  5. Step 5: Solve for x
    x = 478,462,006.08/19,322.40
  6. Step 6: Final answer
    x = 24,762.04

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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.