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Finding the Fourth Proportional to 15,090.16, 22,602.48 and 9,229

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Solution

The fourth proportional to 15,090.16, 22,602.48 and 9,229 is: 13,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.16 : 22,602.48 = 9,229 : x
  2. Step 2: Convert to fraction form
    15,090.16/22,602.48 = 9,229/x
  3. Step 3: Cross multiply
    15,090.16x = 22,602.48 × 9,229
  4. Step 4: Simplify right side
    15,090.16x = 208,598,287.92
  5. Step 5: Solve for x
    x = 208,598,287.92/15,090.16
  6. Step 6: Final answer
    x = 13,823.46

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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.