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Finding the Fourth Proportional to 22,703.92, 31,313.65 and 14,748.71

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Solution

The fourth proportional to 22,703.92, 31,313.65 and 14,748.71 is: 20,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,703.92 : 31,313.65 = 14,748.71 : x
  2. Step 2: Convert to fraction form
    22,703.92/31,313.65 = 14,748.71/x
  3. Step 3: Cross multiply
    22,703.92x = 31,313.65 × 14,748.71
  4. Step 4: Simplify right side
    22,703.92x = 461,835,942.89
  5. Step 5: Solve for x
    x = 461,835,942.89/22,703.92
  6. Step 6: Final answer
    x = 20,341.68

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1.5x scale

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.