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Finding the Fourth Proportional to 17,419.77, 24,038.94 and 9,865.98

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Solution

The fourth proportional to 17,419.77, 24,038.94 and 9,865.98 is: 13,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,419.77 : 24,038.94 = 9,865.98 : x
  2. Step 2: Convert to fraction form
    17,419.77/24,038.94 = 9,865.98/x
  3. Step 3: Cross multiply
    17,419.77x = 24,038.94 × 9,865.98
  4. Step 4: Simplify right side
    17,419.77x = 237,167,701.26
  5. Step 5: Solve for x
    x = 237,167,701.26/17,419.77
  6. Step 6: Final answer
    x = 13,614.86

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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.