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Finding the Fourth Proportional to 14,647.71, 21,966.54 and 4,784.52

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Solution

The fourth proportional to 14,647.71, 21,966.54 and 4,784.52 is: 7,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.71 : 21,966.54 = 4,784.52 : x
  2. Step 2: Convert to fraction form
    14,647.71/21,966.54 = 4,784.52/x
  3. Step 3: Cross multiply
    14,647.71x = 21,966.54 × 4,784.52
  4. Step 4: Simplify right side
    14,647.71x = 105,099,349.96
  5. Step 5: Solve for x
    x = 105,099,349.96/14,647.71
  6. Step 6: Final answer
    x = 7,175.14

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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.