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Finding the Fourth Proportional to 14,102.46, 19,461.51 and 7,814.94

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Solution

The fourth proportional to 14,102.46, 19,461.51 and 7,814.94 is: 10,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.46 : 19,461.51 = 7,814.94 : x
  2. Step 2: Convert to fraction form
    14,102.46/19,461.51 = 7,814.94/x
  3. Step 3: Cross multiply
    14,102.46x = 19,461.51 × 7,814.94
  4. Step 4: Simplify right side
    14,102.46x = 152,090,532.96
  5. Step 5: Solve for x
    x = 152,090,532.96/14,102.46
  6. Step 6: Final answer
    x = 10,784.68

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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.