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Finding the Fourth Proportional to 13,785.50, 19,024.06 and 7,497.88

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Solution

The fourth proportional to 13,785.50, 19,024.06 and 7,497.88 is: 10,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.50 : 19,024.06 = 7,497.88 : x
  2. Step 2: Convert to fraction form
    13,785.50/19,024.06 = 7,497.88/x
  3. Step 3: Cross multiply
    13,785.50x = 19,024.06 × 7,497.88
  4. Step 4: Simplify right side
    13,785.50x = 142,640,118.99
  5. Step 5: Solve for x
    x = 142,640,118.99/13,785.50
  6. Step 6: Final answer
    x = 10,347.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.