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Finding the Fourth Proportional to 21,113.56, 31,681.18 and 9,434.44

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Solution

The fourth proportional to 21,113.56, 31,681.18 and 9,434.44 is: 14,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113.56 : 31,681.18 = 9,434.44 : x
  2. Step 2: Convert to fraction form
    21,113.56/31,681.18 = 9,434.44/x
  3. Step 3: Cross multiply
    21,113.56x = 31,681.18 × 9,434.44
  4. Step 4: Simplify right side
    21,113.56x = 298,894,191.84
  5. Step 5: Solve for x
    x = 298,894,191.84/21,113.56
  6. Step 6: Final answer
    x = 14,156.50

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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.