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Finding the Fourth Proportional to 14,100.84, 19,457.66 and 7,812.60

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Solution

The fourth proportional to 14,100.84, 19,457.66 and 7,812.60 is: 10,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.84 : 19,457.66 = 7,812.60 : x
  2. Step 2: Convert to fraction form
    14,100.84/19,457.66 = 7,812.60/x
  3. Step 3: Cross multiply
    14,100.84x = 19,457.66 × 7,812.60
  4. Step 4: Simplify right side
    14,100.84x = 152,014,914.52
  5. Step 5: Solve for x
    x = 152,014,914.52/14,100.84
  6. Step 6: Final answer
    x = 10,780.56

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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.