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Finding the Fourth Proportional to 13,314.16, 18,373.23 and 7,345.82

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Solution

The fourth proportional to 13,314.16, 18,373.23 and 7,345.82 is: 10,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.16 : 18,373.23 = 7,345.82 : x
  2. Step 2: Convert to fraction form
    13,314.16/18,373.23 = 7,345.82/x
  3. Step 3: Cross multiply
    13,314.16x = 18,373.23 × 7,345.82
  4. Step 4: Simplify right side
    13,314.16x = 134,966,486.33
  5. Step 5: Solve for x
    x = 134,966,486.33/13,314.16
  6. Step 6: Final answer
    x = 10,137.07

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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.