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Finding the Fourth Proportional to 16,681.63, 23,019.99 and 9,127.78

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Solution

The fourth proportional to 16,681.63, 23,019.99 and 9,127.78 is: 12,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.63 : 23,019.99 = 9,127.78 : x
  2. Step 2: Convert to fraction form
    16,681.63/23,019.99 = 9,127.78/x
  3. Step 3: Cross multiply
    16,681.63x = 23,019.99 × 9,127.78
  4. Step 4: Simplify right side
    16,681.63x = 210,121,404.32
  5. Step 5: Solve for x
    x = 210,121,404.32/16,681.63
  6. Step 6: Final answer
    x = 12,595.98

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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.