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Finding the Fourth Proportional to 17,152.16, 23,669.64 and 9,700.16

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Solution

The fourth proportional to 17,152.16, 23,669.64 and 9,700.16 is: 13,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.16 : 23,669.64 = 9,700.16 : x
  2. Step 2: Convert to fraction form
    17,152.16/23,669.64 = 9,700.16/x
  3. Step 3: Cross multiply
    17,152.16x = 23,669.64 × 9,700.16
  4. Step 4: Simplify right side
    17,152.16x = 229,599,295.14
  5. Step 5: Solve for x
    x = 229,599,295.14/17,152.16
  6. Step 6: Final answer
    x = 13,386.03

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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.