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Finding the Fourth Proportional to 30,009.23, 41,411.63 and 16,580.20

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Solution

The fourth proportional to 30,009.23, 41,411.63 and 16,580.20 is: 22,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.23 : 41,411.63 = 16,580.20 : x
  2. Step 2: Convert to fraction form
    30,009.23/41,411.63 = 16,580.20/x
  3. Step 3: Cross multiply
    30,009.23x = 41,411.63 × 16,580.20
  4. Step 4: Simplify right side
    30,009.23x = 686,613,024.83
  5. Step 5: Solve for x
    x = 686,613,024.83/30,009.23
  6. Step 6: Final answer
    x = 22,880.06

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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.