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Finding the Fourth Proportional to 13,681.52, 18,869.76 and 9,905.24

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Solution

The fourth proportional to 13,681.52, 18,869.76 and 9,905.24 is: 13,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.52 : 18,869.76 = 9,905.24 : x
  2. Step 2: Convert to fraction form
    13,681.52/18,869.76 = 9,905.24/x
  3. Step 3: Cross multiply
    13,681.52x = 18,869.76 × 9,905.24
  4. Step 4: Simplify right side
    13,681.52x = 186,909,501.54
  5. Step 5: Solve for x
    x = 186,909,501.54/13,681.52
  6. Step 6: Final answer
    x = 13,661.46

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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.