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Finding the Fourth Proportional to 22,823.64, 31,495.10 and 12,887

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Solution

The fourth proportional to 22,823.64, 31,495.10 and 12,887 is: 17,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.64 : 31,495.10 = 12,887 : x
  2. Step 2: Convert to fraction form
    22,823.64/31,495.10 = 12,887/x
  3. Step 3: Cross multiply
    22,823.64x = 31,495.10 × 12,887
  4. Step 4: Simplify right side
    22,823.64x = 405,877,353.70
  5. Step 5: Solve for x
    x = 405,877,353.70/22,823.64
  6. Step 6: Final answer
    x = 17,783.20

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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.