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Finding the Fourth Proportional to 22,437.64, 30,958.50 and 13,492

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Solution

The fourth proportional to 22,437.64, 30,958.50 and 13,492 is: 18,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437.64 : 30,958.50 = 13,492 : x
  2. Step 2: Convert to fraction form
    22,437.64/30,958.50 = 13,492/x
  3. Step 3: Cross multiply
    22,437.64x = 30,958.50 × 13,492
  4. Step 4: Simplify right side
    22,437.64x = 417,692,082
  5. Step 5: Solve for x
    x = 417,692,082/22,437.64
  6. Step 6: Final answer
    x = 18,615.69

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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.