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Finding the Fourth Proportional to 14,551.64, 21,798.71 and 11,416.02

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Solution

The fourth proportional to 14,551.64, 21,798.71 and 11,416.02 is: 17,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.64 : 21,798.71 = 11,416.02 : x
  2. Step 2: Convert to fraction form
    14,551.64/21,798.71 = 11,416.02/x
  3. Step 3: Cross multiply
    14,551.64x = 21,798.71 × 11,416.02
  4. Step 4: Simplify right side
    14,551.64x = 248,854,452.25
  5. Step 5: Solve for x
    x = 248,854,452.25/14,551.64
  6. Step 6: Final answer
    x = 17,101.48

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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.