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Finding the Fourth Proportional to 12,585.16, 18,880.02 and 5,185.51

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Solution

The fourth proportional to 12,585.16, 18,880.02 and 5,185.51 is: 7,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.16 : 18,880.02 = 5,185.51 : x
  2. Step 2: Convert to fraction form
    12,585.16/18,880.02 = 5,185.51/x
  3. Step 3: Cross multiply
    12,585.16x = 18,880.02 × 5,185.51
  4. Step 4: Simplify right side
    12,585.16x = 97,902,438.11
  5. Step 5: Solve for x
    x = 97,902,438.11/12,585.16
  6. Step 6: Final answer
    x = 7,779.20

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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.