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Finding the Fourth Proportional to 29,688.31, 40,969.86 and 16,259.54

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Solution

The fourth proportional to 29,688.31, 40,969.86 and 16,259.54 is: 22,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688.31 : 40,969.86 = 16,259.54 : x
  2. Step 2: Convert to fraction form
    29,688.31/40,969.86 = 16,259.54/x
  3. Step 3: Cross multiply
    29,688.31x = 40,969.86 × 16,259.54
  4. Step 4: Simplify right side
    29,688.31x = 666,151,077.46
  5. Step 5: Solve for x
    x = 666,151,077.46/29,688.31
  6. Step 6: Final answer
    x = 22,438.16

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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.