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Finding the Fourth Proportional to 22,969.16, 31,700.37 and 14,014.76

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Solution

The fourth proportional to 22,969.16, 31,700.37 and 14,014.76 is: 19,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.16 : 31,700.37 = 14,014.76 : x
  2. Step 2: Convert to fraction form
    22,969.16/31,700.37 = 14,014.76/x
  3. Step 3: Cross multiply
    22,969.16x = 31,700.37 × 14,014.76
  4. Step 4: Simplify right side
    22,969.16x = 444,272,952.12
  5. Step 5: Solve for x
    x = 444,272,952.12/22,969.16
  6. Step 6: Final answer
    x = 19,342.15

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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.