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Finding the Fourth Proportional to 12,803.39, 19,205.10 and 4,038.99

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Solution

The fourth proportional to 12,803.39, 19,205.10 and 4,038.99 is: 6,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.39 : 19,205.10 = 4,038.99 : x
  2. Step 2: Convert to fraction form
    12,803.39/19,205.10 = 4,038.99/x
  3. Step 3: Cross multiply
    12,803.39x = 19,205.10 × 4,038.99
  4. Step 4: Simplify right side
    12,803.39x = 77,569,242.86
  5. Step 5: Solve for x
    x = 77,569,242.86/12,803.39
  6. Step 6: Final answer
    x = 6,058.49

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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.