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Finding the Fourth Proportional to 15,186.34, 22,780.59 and 4,798

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Solution

The fourth proportional to 15,186.34, 22,780.59 and 4,798 is: 7,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,186.34 : 22,780.59 = 4,798 : x
  2. Step 2: Convert to fraction form
    15,186.34/22,780.59 = 4,798/x
  3. Step 3: Cross multiply
    15,186.34x = 22,780.59 × 4,798
  4. Step 4: Simplify right side
    15,186.34x = 109,301,270.82
  5. Step 5: Solve for x
    x = 109,301,270.82/15,186.34
  6. Step 6: Final answer
    x = 7,197.34

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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.