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Finding the Fourth Proportional to 14,952.69, 22,429.04 and 6,177.96

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Solution

The fourth proportional to 14,952.69, 22,429.04 and 6,177.96 is: 9,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.69 : 22,429.04 = 6,177.96 : x
  2. Step 2: Convert to fraction form
    14,952.69/22,429.04 = 6,177.96/x
  3. Step 3: Cross multiply
    14,952.69x = 22,429.04 × 6,177.96
  4. Step 4: Simplify right side
    14,952.69x = 138,565,681.07
  5. Step 5: Solve for x
    x = 138,565,681.07/14,952.69
  6. Step 6: Final answer
    x = 9,266.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.