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Finding the Fourth Proportional to 23,064.98, 31,830.43 and 13,505.82

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Solution

The fourth proportional to 23,064.98, 31,830.43 and 13,505.82 is: 18,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064.98 : 31,830.43 = 13,505.82 : x
  2. Step 2: Convert to fraction form
    23,064.98/31,830.43 = 13,505.82/x
  3. Step 3: Cross multiply
    23,064.98x = 31,830.43 × 13,505.82
  4. Step 4: Simplify right side
    23,064.98x = 429,896,058.10
  5. Step 5: Solve for x
    x = 429,896,058.10/23,064.98
  6. Step 6: Final answer
    x = 18,638.48

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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.