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Finding the Fourth Proportional to 16,678.04, 23,014.94 and 9,602.96

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Solution

The fourth proportional to 16,678.04, 23,014.94 and 9,602.96 is: 13,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.04 : 23,014.94 = 9,602.96 : x
  2. Step 2: Convert to fraction form
    16,678.04/23,014.94 = 9,602.96/x
  3. Step 3: Cross multiply
    16,678.04x = 23,014.94 × 9,602.96
  4. Step 4: Simplify right side
    16,678.04x = 221,011,548.22
  5. Step 5: Solve for x
    x = 221,011,548.22/16,678.04
  6. Step 6: Final answer
    x = 13,251.65

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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.