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Finding the Fourth Proportional to 17,206.84, 23,746.76 and 9,653.16

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Solution

The fourth proportional to 17,206.84, 23,746.76 and 9,653.16 is: 13,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.84 : 23,746.76 = 9,653.16 : x
  2. Step 2: Convert to fraction form
    17,206.84/23,746.76 = 9,653.16/x
  3. Step 3: Cross multiply
    17,206.84x = 23,746.76 × 9,653.16
  4. Step 4: Simplify right side
    17,206.84x = 229,231,273.76
  5. Step 5: Solve for x
    x = 229,231,273.76/17,206.84
  6. Step 6: Final answer
    x = 13,322.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.