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Finding the Fourth Proportional to 14,102.64, 19,462.28 and 7,814.61

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Solution

The fourth proportional to 14,102.64, 19,462.28 and 7,814.61 is: 10,784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.64 : 19,462.28 = 7,814.61 : x
  2. Step 2: Convert to fraction form
    14,102.64/19,462.28 = 7,814.61/x
  3. Step 3: Cross multiply
    14,102.64x = 19,462.28 × 7,814.61
  4. Step 4: Simplify right side
    14,102.64x = 152,090,088.84
  5. Step 5: Solve for x
    x = 152,090,088.84/14,102.64
  6. Step 6: Final answer
    x = 10,784.51

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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.