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Finding the Fourth Proportional to 14,416.36, 19,899.78 and 9,114.76

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Solution

The fourth proportional to 14,416.36, 19,899.78 and 9,114.76 is: 12,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.36 : 19,899.78 = 9,114.76 : x
  2. Step 2: Convert to fraction form
    14,416.36/19,899.78 = 9,114.76/x
  3. Step 3: Cross multiply
    14,416.36x = 19,899.78 × 9,114.76
  4. Step 4: Simplify right side
    14,416.36x = 181,381,718.75
  5. Step 5: Solve for x
    x = 181,381,718.75/14,416.36
  6. Step 6: Final answer
    x = 12,581.66

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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.