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Finding the Fourth Proportional to 19,549.36, 29,328.19 and 6,400.76

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Solution

The fourth proportional to 19,549.36, 29,328.19 and 6,400.76 is: 9,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.36 : 29,328.19 = 6,400.76 : x
  2. Step 2: Convert to fraction form
    19,549.36/29,328.19 = 6,400.76/x
  3. Step 3: Cross multiply
    19,549.36x = 29,328.19 × 6,400.76
  4. Step 4: Simplify right side
    19,549.36x = 187,722,762.74
  5. Step 5: Solve for x
    x = 187,722,762.74/19,549.36
  6. Step 6: Final answer
    x = 9,602.50

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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.