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Finding the Fourth Proportional to 13,038.84, 17,985.65 and 9,632.39

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Solution

The fourth proportional to 13,038.84, 17,985.65 and 9,632.39 is: 13,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.84 : 17,985.65 = 9,632.39 : x
  2. Step 2: Convert to fraction form
    13,038.84/17,985.65 = 9,632.39/x
  3. Step 3: Cross multiply
    13,038.84x = 17,985.65 × 9,632.39
  4. Step 4: Simplify right side
    13,038.84x = 173,244,657.11
  5. Step 5: Solve for x
    x = 173,244,657.11/13,038.84
  6. Step 6: Final answer
    x = 13,286.82

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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.