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Finding the Fourth Proportional to 23,068.60, 31,837.02 and 14,122.01

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Solution

The fourth proportional to 23,068.60, 31,837.02 and 14,122.01 is: 19,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068.60 : 31,837.02 = 14,122.01 : x
  2. Step 2: Convert to fraction form
    23,068.60/31,837.02 = 14,122.01/x
  3. Step 3: Cross multiply
    23,068.60x = 31,837.02 × 14,122.01
  4. Step 4: Simplify right side
    23,068.60x = 449,602,741.45
  5. Step 5: Solve for x
    x = 449,602,741.45/23,068.60
  6. Step 6: Final answer
    x = 19,489.82

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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.