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Finding the Fourth Proportional to 15,090.48, 20,825.64 and 11,358

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Solution

The fourth proportional to 15,090.48, 20,825.64 and 11,358 is: 15,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.48 : 20,825.64 = 11,358 : x
  2. Step 2: Convert to fraction form
    15,090.48/20,825.64 = 11,358/x
  3. Step 3: Cross multiply
    15,090.48x = 20,825.64 × 11,358
  4. Step 4: Simplify right side
    15,090.48x = 236,537,619.12
  5. Step 5: Solve for x
    x = 236,537,619.12/15,090.48
  6. Step 6: Final answer
    x = 15,674.63

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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.