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Finding the Fourth Proportional to 24,924, 34,393.90 and 14,852.21

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Solution

The fourth proportional to 24,924, 34,393.90 and 14,852.21 is: 20,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924 : 34,393.90 = 14,852.21 : x
  2. Step 2: Convert to fraction form
    24,924/34,393.90 = 14,852.21/x
  3. Step 3: Cross multiply
    24,924x = 34,393.90 × 14,852.21
  4. Step 4: Simplify right side
    24,924x = 510,825,474.37
  5. Step 5: Solve for x
    x = 510,825,474.37/24,924
  6. Step 6: Final answer
    x = 20,495.32

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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.