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Finding the Fourth Proportional to 17,320.16, 23,891.88 and 12,005.84

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Solution

The fourth proportional to 17,320.16, 23,891.88 and 12,005.84 is: 16,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.16 : 23,891.88 = 12,005.84 : x
  2. Step 2: Convert to fraction form
    17,320.16/23,891.88 = 12,005.84/x
  3. Step 3: Cross multiply
    17,320.16x = 23,891.88 × 12,005.84
  4. Step 4: Simplify right side
    17,320.16x = 286,842,088.58
  5. Step 5: Solve for x
    x = 286,842,088.58/17,320.16
  6. Step 6: Final answer
    x = 16,561.17

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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.