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Finding the Fourth Proportional to 17,254.64, 23,811.40 and 9,802.64

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Solution

The fourth proportional to 17,254.64, 23,811.40 and 9,802.64 is: 13,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.64 : 23,811.40 = 9,802.64 : x
  2. Step 2: Convert to fraction form
    17,254.64/23,811.40 = 9,802.64/x
  3. Step 3: Cross multiply
    17,254.64x = 23,811.40 × 9,802.64
  4. Step 4: Simplify right side
    17,254.64x = 233,414,582.10
  5. Step 5: Solve for x
    x = 233,414,582.10/17,254.64
  6. Step 6: Final answer
    x = 13,527.64

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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.