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Finding the Fourth Proportional to 14,568.13, 21,852.22 and 6,242.75

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Solution

The fourth proportional to 14,568.13, 21,852.22 and 6,242.75 is: 9,364.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.13 : 21,852.22 = 6,242.75 : x
  2. Step 2: Convert to fraction form
    14,568.13/21,852.22 = 6,242.75/x
  3. Step 3: Cross multiply
    14,568.13x = 21,852.22 × 6,242.75
  4. Step 4: Simplify right side
    14,568.13x = 136,417,946.41
  5. Step 5: Solve for x
    x = 136,417,946.41/14,568.13
  6. Step 6: Final answer
    x = 9,364.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.