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Finding the Fourth Proportional to 19,506, 29,260.08 and 5,656.08

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Solution

The fourth proportional to 19,506, 29,260.08 and 5,656.08 is: 8,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506 : 29,260.08 = 5,656.08 : x
  2. Step 2: Convert to fraction form
    19,506/29,260.08 = 5,656.08/x
  3. Step 3: Cross multiply
    19,506x = 29,260.08 × 5,656.08
  4. Step 4: Simplify right side
    19,506x = 165,497,353.29
  5. Step 5: Solve for x
    x = 165,497,353.29/19,506
  6. Step 6: Final answer
    x = 8,484.43

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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.