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Finding the Fourth Proportional to 19,624, 29,428.80 and 6,472.48

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Solution

The fourth proportional to 19,624, 29,428.80 and 6,472.48 is: 9,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,624 : 29,428.80 = 6,472.48 : x
  2. Step 2: Convert to fraction form
    19,624/29,428.80 = 6,472.48/x
  3. Step 3: Cross multiply
    19,624x = 29,428.80 × 6,472.48
  4. Step 4: Simplify right side
    19,624x = 190,477,319.42
  5. Step 5: Solve for x
    x = 190,477,319.42/19,624
  6. Step 6: Final answer
    x = 9,706.35

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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.