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Finding the Fourth Proportional to 15,773, 23,656.12 and 4,679.76

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Solution

The fourth proportional to 15,773, 23,656.12 and 4,679.76 is: 7,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773 : 23,656.12 = 4,679.76 : x
  2. Step 2: Convert to fraction form
    15,773/23,656.12 = 4,679.76/x
  3. Step 3: Cross multiply
    15,773x = 23,656.12 × 4,679.76
  4. Step 4: Simplify right side
    15,773x = 110,704,964.13
  5. Step 5: Solve for x
    x = 110,704,964.13/15,773
  6. Step 6: Final answer
    x = 7,018.64

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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.