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Finding the Fourth Proportional to 17,133.16, 23,641.86 and 9,681.16

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Solution

The fourth proportional to 17,133.16, 23,641.86 and 9,681.16 is: 13,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133.16 : 23,641.86 = 9,681.16 : x
  2. Step 2: Convert to fraction form
    17,133.16/23,641.86 = 9,681.16/x
  3. Step 3: Cross multiply
    17,133.16x = 23,641.86 × 9,681.16
  4. Step 4: Simplify right side
    17,133.16x = 228,880,629.36
  5. Step 5: Solve for x
    x = 228,880,629.36/17,133.16
  6. Step 6: Final answer
    x = 13,358.93

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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.