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Finding the Fourth Proportional to 23,341.16, 32,210.08 and 12,731

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Solution

The fourth proportional to 23,341.16, 32,210.08 and 12,731 is: 17,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,341.16 : 32,210.08 = 12,731 : x
  2. Step 2: Convert to fraction form
    23,341.16/32,210.08 = 12,731/x
  3. Step 3: Cross multiply
    23,341.16x = 32,210.08 × 12,731
  4. Step 4: Simplify right side
    23,341.16x = 410,066,528.48
  5. Step 5: Solve for x
    x = 410,066,528.48/23,341.16
  6. Step 6: Final answer
    x = 17,568.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.