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Finding the Fourth Proportional to 21,119.47, 31,688.06 and 9,267.13

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Solution

The fourth proportional to 21,119.47, 31,688.06 and 9,267.13 is: 13,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,119.47 : 31,688.06 = 9,267.13 : x
  2. Step 2: Convert to fraction form
    21,119.47/31,688.06 = 9,267.13/x
  3. Step 3: Cross multiply
    21,119.47x = 31,688.06 × 9,267.13
  4. Step 4: Simplify right side
    21,119.47x = 293,657,371.47
  5. Step 5: Solve for x
    x = 293,657,371.47/21,119.47
  6. Step 6: Final answer
    x = 13,904.58

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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.