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Finding the Fourth Proportional to 13,011.12, 17,950.86 and 7,345.16

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Solution

The fourth proportional to 13,011.12, 17,950.86 and 7,345.16 is: 10,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.12 : 17,950.86 = 7,345.16 : x
  2. Step 2: Convert to fraction form
    13,011.12/17,950.86 = 7,345.16/x
  3. Step 3: Cross multiply
    13,011.12x = 17,950.86 × 7,345.16
  4. Step 4: Simplify right side
    13,011.12x = 131,851,938.84
  5. Step 5: Solve for x
    x = 131,851,938.84/13,011.12
  6. Step 6: Final answer
    x = 10,133.79

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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.