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Finding the Fourth Proportional to 22,763.64, 31,411.28 and 13,813.32

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Solution

The fourth proportional to 22,763.64, 31,411.28 and 13,813.32 is: 19,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.64 : 31,411.28 = 13,813.32 : x
  2. Step 2: Convert to fraction form
    22,763.64/31,411.28 = 13,813.32/x
  3. Step 3: Cross multiply
    22,763.64x = 31,411.28 × 13,813.32
  4. Step 4: Simplify right side
    22,763.64x = 433,894,062.25
  5. Step 5: Solve for x
    x = 433,894,062.25/22,763.64
  6. Step 6: Final answer
    x = 19,060.84

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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.