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Finding the Fourth Proportional to 12,624.96, 17,423.04 and 7,036

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Solution

The fourth proportional to 12,624.96, 17,423.04 and 7,036 is: 9,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.96 : 17,423.04 = 7,036 : x
  2. Step 2: Convert to fraction form
    12,624.96/17,423.04 = 7,036/x
  3. Step 3: Cross multiply
    12,624.96x = 17,423.04 × 7,036
  4. Step 4: Simplify right side
    12,624.96x = 122,588,509.44
  5. Step 5: Solve for x
    x = 122,588,509.44/12,624.96
  6. Step 6: Final answer
    x = 9,710.01

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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.