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Finding the Fourth Proportional to 13,029.50, 19,570.49 and 7,774.79

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Solution

The fourth proportional to 13,029.50, 19,570.49 and 7,774.79 is: 11,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.50 : 19,570.49 = 7,774.79 : x
  2. Step 2: Convert to fraction form
    13,029.50/19,570.49 = 7,774.79/x
  3. Step 3: Cross multiply
    13,029.50x = 19,570.49 × 7,774.79
  4. Step 4: Simplify right side
    13,029.50x = 152,156,411.07
  5. Step 5: Solve for x
    x = 152,156,411.07/13,029.50
  6. Step 6: Final answer
    x = 11,677.84

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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.