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Finding the Fourth Proportional to 13,830.05, 19,080.02 and 8,515.64

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Solution

The fourth proportional to 13,830.05, 19,080.02 and 8,515.64 is: 11,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.05 : 19,080.02 = 8,515.64 : x
  2. Step 2: Convert to fraction form
    13,830.05/19,080.02 = 8,515.64/x
  3. Step 3: Cross multiply
    13,830.05x = 19,080.02 × 8,515.64
  4. Step 4: Simplify right side
    13,830.05x = 162,478,443.53
  5. Step 5: Solve for x
    x = 162,478,443.53/13,830.05
  6. Step 6: Final answer
    x = 11,748.22

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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.