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Finding the Fourth Proportional to 30,114.48, 41,560 and 16,686.32

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Solution

The fourth proportional to 30,114.48, 41,560 and 16,686.32 is: 23,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.48 : 41,560 = 16,686.32 : x
  2. Step 2: Convert to fraction form
    30,114.48/41,560 = 16,686.32/x
  3. Step 3: Cross multiply
    30,114.48x = 41,560 × 16,686.32
  4. Step 4: Simplify right side
    30,114.48x = 693,483,459.20
  5. Step 5: Solve for x
    x = 693,483,459.20/30,114.48
  6. Step 6: Final answer
    x = 23,028.24

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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.