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Finding the Fourth Proportional to 23,049.60, 31,792.80 and 14,085.60

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Solution

The fourth proportional to 23,049.60, 31,792.80 and 14,085.60 is: 19,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.60 : 31,792.80 = 14,085.60 : x
  2. Step 2: Convert to fraction form
    23,049.60/31,792.80 = 14,085.60/x
  3. Step 3: Cross multiply
    23,049.60x = 31,792.80 × 14,085.60
  4. Step 4: Simplify right side
    23,049.60x = 447,820,663.68
  5. Step 5: Solve for x
    x = 447,820,663.68/23,049.60
  6. Step 6: Final answer
    x = 19,428.57

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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.