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Finding the Fourth Proportional to 17,206.64, 23,746.31 and 9,653.50

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Solution

The fourth proportional to 17,206.64, 23,746.31 and 9,653.50 is: 13,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.64 : 23,746.31 = 9,653.50 : x
  2. Step 2: Convert to fraction form
    17,206.64/23,746.31 = 9,653.50/x
  3. Step 3: Cross multiply
    17,206.64x = 23,746.31 × 9,653.50
  4. Step 4: Simplify right side
    17,206.64x = 229,235,003.59
  5. Step 5: Solve for x
    x = 229,235,003.59/17,206.64
  6. Step 6: Final answer
    x = 13,322.47

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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.