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Finding the Fourth Proportional to 17,695.95, 24,419.14 and 10,525.47

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Solution

The fourth proportional to 17,695.95, 24,419.14 and 10,525.47 is: 14,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.95 : 24,419.14 = 10,525.47 : x
  2. Step 2: Convert to fraction form
    17,695.95/24,419.14 = 10,525.47/x
  3. Step 3: Cross multiply
    17,695.95x = 24,419.14 × 10,525.47
  4. Step 4: Simplify right side
    17,695.95x = 257,022,925.50
  5. Step 5: Solve for x
    x = 257,022,925.50/17,695.95
  6. Step 6: Final answer
    x = 14,524.39

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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.