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Finding the Fourth Proportional to 24,973.50, 34,463.52 and 13,795.50

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Solution

The fourth proportional to 24,973.50, 34,463.52 and 13,795.50 is: 19,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.50 : 34,463.52 = 13,795.50 : x
  2. Step 2: Convert to fraction form
    24,973.50/34,463.52 = 13,795.50/x
  3. Step 3: Cross multiply
    24,973.50x = 34,463.52 × 13,795.50
  4. Step 4: Simplify right side
    24,973.50x = 475,441,490.16
  5. Step 5: Solve for x
    x = 475,441,490.16/24,973.50
  6. Step 6: Final answer
    x = 19,037.84

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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.