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Finding the Fourth Proportional to 14,606.10, 21,928.56 and 9,878.14

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Solution

The fourth proportional to 14,606.10, 21,928.56 and 9,878.14 is: 14,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.10 : 21,928.56 = 9,878.14 : x
  2. Step 2: Convert to fraction form
    14,606.10/21,928.56 = 9,878.14/x
  3. Step 3: Cross multiply
    14,606.10x = 21,928.56 × 9,878.14
  4. Step 4: Simplify right side
    14,606.10x = 216,613,385.68
  5. Step 5: Solve for x
    x = 216,613,385.68/14,606.10
  6. Step 6: Final answer
    x = 14,830.34

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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.