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Finding the Fourth Proportional to 23,064.37, 31,830.01 and 14,109.08

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Solution

The fourth proportional to 23,064.37, 31,830.01 and 14,109.08 is: 19,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064.37 : 31,830.01 = 14,109.08 : x
  2. Step 2: Convert to fraction form
    23,064.37/31,830.01 = 14,109.08/x
  3. Step 3: Cross multiply
    23,064.37x = 31,830.01 × 14,109.08
  4. Step 4: Simplify right side
    23,064.37x = 449,091,963.07
  5. Step 5: Solve for x
    x = 449,091,963.07/23,064.37
  6. Step 6: Final answer
    x = 19,471.25

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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.