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Finding the Fourth Proportional to 14,779.84, 20,399.52 and 10,066

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Solution

The fourth proportional to 14,779.84, 20,399.52 and 10,066 is: 13,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,779.84 : 20,399.52 = 10,066 : x
  2. Step 2: Convert to fraction form
    14,779.84/20,399.52 = 10,066/x
  3. Step 3: Cross multiply
    14,779.84x = 20,399.52 × 10,066
  4. Step 4: Simplify right side
    14,779.84x = 205,341,568.32
  5. Step 5: Solve for x
    x = 205,341,568.32/14,779.84
  6. Step 6: Final answer
    x = 13,893.36

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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.