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Finding the Fourth Proportional to 19,967.16, 29,931.54 and 9,568.44

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Solution

The fourth proportional to 19,967.16, 29,931.54 and 9,568.44 is: 14,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.16 : 29,931.54 = 9,568.44 : x
  2. Step 2: Convert to fraction form
    19,967.16/29,931.54 = 9,568.44/x
  3. Step 3: Cross multiply
    19,967.16x = 29,931.54 × 9,568.44
  4. Step 4: Simplify right side
    19,967.16x = 286,398,144.60
  5. Step 5: Solve for x
    x = 286,398,144.60/19,967.16
  6. Step 6: Final answer
    x = 14,343.46

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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.