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Finding the Fourth Proportional to 19,517, 29,280.54 and 5,666.36

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Solution

The fourth proportional to 19,517, 29,280.54 and 5,666.36 is: 8,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517 : 29,280.54 = 5,666.36 : x
  2. Step 2: Convert to fraction form
    19,517/29,280.54 = 5,666.36/x
  3. Step 3: Cross multiply
    19,517x = 29,280.54 × 5,666.36
  4. Step 4: Simplify right side
    19,517x = 165,914,080.63
  5. Step 5: Solve for x
    x = 165,914,080.63/19,517
  6. Step 6: Final answer
    x = 8,501.00

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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.