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Finding the Fourth Proportional to 13,547.55, 18,697.16 and 7,580.73

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Solution

The fourth proportional to 13,547.55, 18,697.16 and 7,580.73 is: 10,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.55 : 18,697.16 = 7,580.73 : x
  2. Step 2: Convert to fraction form
    13,547.55/18,697.16 = 7,580.73/x
  3. Step 3: Cross multiply
    13,547.55x = 18,697.16 × 7,580.73
  4. Step 4: Simplify right side
    13,547.55x = 141,738,121.73
  5. Step 5: Solve for x
    x = 141,738,121.73/13,547.55
  6. Step 6: Final answer
    x = 10,462.27

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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.