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Finding the Fourth Proportional to 22,700.16, 31,317.60 and 16,746

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Solution

The fourth proportional to 22,700.16, 31,317.60 and 16,746 is: 23,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700.16 : 31,317.60 = 16,746 : x
  2. Step 2: Convert to fraction form
    22,700.16/31,317.60 = 16,746/x
  3. Step 3: Cross multiply
    22,700.16x = 31,317.60 × 16,746
  4. Step 4: Simplify right side
    22,700.16x = 524,444,529.60
  5. Step 5: Solve for x
    x = 524,444,529.60/22,700.16
  6. Step 6: Final answer
    x = 23,103.12

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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.