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Finding the Fourth Proportional to 30,803.81, 42,509.27 and 16,656.66

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Solution

The fourth proportional to 30,803.81, 42,509.27 and 16,656.66 is: 22,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.81 : 42,509.27 = 16,656.66 : x
  2. Step 2: Convert to fraction form
    30,803.81/42,509.27 = 16,656.66/x
  3. Step 3: Cross multiply
    30,803.81x = 42,509.27 × 16,656.66
  4. Step 4: Simplify right side
    30,803.81x = 708,062,368.83
  5. Step 5: Solve for x
    x = 708,062,368.83/30,803.81
  6. Step 6: Final answer
    x = 22,986.19

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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.