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Finding the Fourth Proportional to 23,568.14, 35,368.44 and 9,717.14

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Solution

The fourth proportional to 23,568.14, 35,368.44 and 9,717.14 is: 14,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,568.14 : 35,368.44 = 9,717.14 : x
  2. Step 2: Convert to fraction form
    23,568.14/35,368.44 = 9,717.14/x
  3. Step 3: Cross multiply
    23,568.14x = 35,368.44 × 9,717.14
  4. Step 4: Simplify right side
    23,568.14x = 343,680,083.06
  5. Step 5: Solve for x
    x = 343,680,083.06/23,568.14
  6. Step 6: Final answer
    x = 14,582.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.