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Finding the Fourth Proportional to 22,492.66, 31,039.86 and 14,109.16

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Solution

The fourth proportional to 22,492.66, 31,039.86 and 14,109.16 is: 19,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.66 : 31,039.86 = 14,109.16 : x
  2. Step 2: Convert to fraction form
    22,492.66/31,039.86 = 14,109.16/x
  3. Step 3: Cross multiply
    22,492.66x = 31,039.86 × 14,109.16
  4. Step 4: Simplify right side
    22,492.66x = 437,946,351.12
  5. Step 5: Solve for x
    x = 437,946,351.12/22,492.66
  6. Step 6: Final answer
    x = 19,470.63

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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.