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Finding the Fourth Proportional to 17,349.65, 26,024.55 and 4,202

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Solution

The fourth proportional to 17,349.65, 26,024.55 and 4,202 is: 6,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,349.65 : 26,024.55 = 4,202 : x
  2. Step 2: Convert to fraction form
    17,349.65/26,024.55 = 4,202/x
  3. Step 3: Cross multiply
    17,349.65x = 26,024.55 × 4,202
  4. Step 4: Simplify right side
    17,349.65x = 109,355,159.10
  5. Step 5: Solve for x
    x = 109,355,159.10/17,349.65
  6. Step 6: Final answer
    x = 6,303.02

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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.