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Finding the Fourth Proportional to 13,440.09, 18,547.80 and 7,390.80

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Solution

The fourth proportional to 13,440.09, 18,547.80 and 7,390.80 is: 10,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.09 : 18,547.80 = 7,390.80 : x
  2. Step 2: Convert to fraction form
    13,440.09/18,547.80 = 7,390.80/x
  3. Step 3: Cross multiply
    13,440.09x = 18,547.80 × 7,390.80
  4. Step 4: Simplify right side
    13,440.09x = 137,083,031.44
  5. Step 5: Solve for x
    x = 137,083,031.44/13,440.09
  6. Step 6: Final answer
    x = 10,199.56

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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.