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Finding the Fourth Proportional to 24,193.37, 36,275.93 and 9,384.98

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Solution

The fourth proportional to 24,193.37, 36,275.93 and 9,384.98 is: 14,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.37 : 36,275.93 = 9,384.98 : x
  2. Step 2: Convert to fraction form
    24,193.37/36,275.93 = 9,384.98/x
  3. Step 3: Cross multiply
    24,193.37x = 36,275.93 × 9,384.98
  4. Step 4: Simplify right side
    24,193.37x = 340,448,956.49
  5. Step 5: Solve for x
    x = 340,448,956.49/24,193.37
  6. Step 6: Final answer
    x = 14,071.99

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1.5x scale

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.