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Finding the Fourth Proportional to 14,369.42, 19,829.54 and 7,996.43

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Solution

The fourth proportional to 14,369.42, 19,829.54 and 7,996.43 is: 11,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.42 : 19,829.54 = 7,996.43 : x
  2. Step 2: Convert to fraction form
    14,369.42/19,829.54 = 7,996.43/x
  3. Step 3: Cross multiply
    14,369.42x = 19,829.54 × 7,996.43
  4. Step 4: Simplify right side
    14,369.42x = 158,565,598.11
  5. Step 5: Solve for x
    x = 158,565,598.11/14,369.42
  6. Step 6: Final answer
    x = 11,034.94

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1.5x scale

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.