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Finding the Fourth Proportional to 23,186.98, 34,783.18 and 7,386.46

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Solution

The fourth proportional to 23,186.98, 34,783.18 and 7,386.46 is: 11,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.98 : 34,783.18 = 7,386.46 : x
  2. Step 2: Convert to fraction form
    23,186.98/34,783.18 = 7,386.46/x
  3. Step 3: Cross multiply
    23,186.98x = 34,783.18 × 7,386.46
  4. Step 4: Simplify right side
    23,186.98x = 256,924,567.74
  5. Step 5: Solve for x
    x = 256,924,567.74/23,186.98
  6. Step 6: Final answer
    x = 11,080.55

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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.