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Finding the Fourth Proportional to 14,153.69, 19,509.41 and 9,615.05

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Solution

The fourth proportional to 14,153.69, 19,509.41 and 9,615.05 is: 13,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.69 : 19,509.41 = 9,615.05 : x
  2. Step 2: Convert to fraction form
    14,153.69/19,509.41 = 9,615.05/x
  3. Step 3: Cross multiply
    14,153.69x = 19,509.41 × 9,615.05
  4. Step 4: Simplify right side
    14,153.69x = 187,584,007.93
  5. Step 5: Solve for x
    x = 187,584,007.93/14,153.69
  6. Step 6: Final answer
    x = 13,253.37

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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.