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Finding the Fourth Proportional to 13,325.42, 19,981.38 and 7,780.16

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Solution

The fourth proportional to 13,325.42, 19,981.38 and 7,780.16 is: 11,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,325.42 : 19,981.38 = 7,780.16 : x
  2. Step 2: Convert to fraction form
    13,325.42/19,981.38 = 7,780.16/x
  3. Step 3: Cross multiply
    13,325.42x = 19,981.38 × 7,780.16
  4. Step 4: Simplify right side
    13,325.42x = 155,458,333.42
  5. Step 5: Solve for x
    x = 155,458,333.42/13,325.42
  6. Step 6: Final answer
    x = 11,666.30

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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.