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Finding the Fourth Proportional to 17,259.76, 23,818.34 and 9,807.76

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Solution

The fourth proportional to 17,259.76, 23,818.34 and 9,807.76 is: 13,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259.76 : 23,818.34 = 9,807.76 : x
  2. Step 2: Convert to fraction form
    17,259.76/23,818.34 = 9,807.76/x
  3. Step 3: Cross multiply
    17,259.76x = 23,818.34 × 9,807.76
  4. Step 4: Simplify right side
    17,259.76x = 233,604,562.32
  5. Step 5: Solve for x
    x = 233,604,562.32/17,259.76
  6. Step 6: Final answer
    x = 13,534.64

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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.