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Finding the Fourth Proportional to 16,901.84, 23,322.52 and 9,347.16

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Solution

The fourth proportional to 16,901.84, 23,322.52 and 9,347.16 is: 12,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,901.84 : 23,322.52 = 9,347.16 : x
  2. Step 2: Convert to fraction form
    16,901.84/23,322.52 = 9,347.16/x
  3. Step 3: Cross multiply
    16,901.84x = 23,322.52 × 9,347.16
  4. Step 4: Simplify right side
    16,901.84x = 217,999,326.04
  5. Step 5: Solve for x
    x = 217,999,326.04/16,901.84
  6. Step 6: Final answer
    x = 12,897.96

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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.