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Finding the Fourth Proportional to 24,710, 37,065 and 10,859.36

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Solution

The fourth proportional to 24,710, 37,065 and 10,859.36 is: 16,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710 : 37,065 = 10,859.36 : x
  2. Step 2: Convert to fraction form
    24,710/37,065 = 10,859.36/x
  3. Step 3: Cross multiply
    24,710x = 37,065 × 10,859.36
  4. Step 4: Simplify right side
    24,710x = 402,502,178.40
  5. Step 5: Solve for x
    x = 402,502,178.40/24,710
  6. Step 6: Final answer
    x = 16,289.04

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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.