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Finding the Fourth Proportional to 12,042.84, 16,624.69 and 7,005.22

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Solution

The fourth proportional to 12,042.84, 16,624.69 and 7,005.22 is: 9,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.84 : 16,624.69 = 7,005.22 : x
  2. Step 2: Convert to fraction form
    12,042.84/16,624.69 = 7,005.22/x
  3. Step 3: Cross multiply
    12,042.84x = 16,624.69 × 7,005.22
  4. Step 4: Simplify right side
    12,042.84x = 116,459,610.88
  5. Step 5: Solve for x
    x = 116,459,610.88/12,042.84
  6. Step 6: Final answer
    x = 9,670.45

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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.