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Finding the Fourth Proportional to 24,316.51, 36,477.95 and 9,523.50

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Solution

The fourth proportional to 24,316.51, 36,477.95 and 9,523.50 is: 14,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,316.51 : 36,477.95 = 9,523.50 : x
  2. Step 2: Convert to fraction form
    24,316.51/36,477.95 = 9,523.50/x
  3. Step 3: Cross multiply
    24,316.51x = 36,477.95 × 9,523.50
  4. Step 4: Simplify right side
    24,316.51x = 347,397,895.86
  5. Step 5: Solve for x
    x = 347,397,895.86/24,316.51
  6. Step 6: Final answer
    x = 14,286.50

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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.