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Finding the Fourth Proportional to 23,109.32, 31,888.64 and 14,039.64

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Solution

The fourth proportional to 23,109.32, 31,888.64 and 14,039.64 is: 19,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.32 : 31,888.64 = 14,039.64 : x
  2. Step 2: Convert to fraction form
    23,109.32/31,888.64 = 14,039.64/x
  3. Step 3: Cross multiply
    23,109.32x = 31,888.64 × 14,039.64
  4. Step 4: Simplify right side
    23,109.32x = 447,705,025.69
  5. Step 5: Solve for x
    x = 447,705,025.69/23,109.32
  6. Step 6: Final answer
    x = 19,373.35

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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.