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Finding the Fourth Proportional to 24,705, 37,061.34 and 8,292.84

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Solution

The fourth proportional to 24,705, 37,061.34 and 8,292.84 is: 12,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705 : 37,061.34 = 8,292.84 : x
  2. Step 2: Convert to fraction form
    24,705/37,061.34 = 8,292.84/x
  3. Step 3: Cross multiply
    24,705x = 37,061.34 × 8,292.84
  4. Step 4: Simplify right side
    24,705x = 307,343,762.81
  5. Step 5: Solve for x
    x = 307,343,762.81/24,705
  6. Step 6: Final answer
    x = 12,440.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.