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Finding the Fourth Proportional to 24,533.65, 36,812.63 and 9,742.24

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Solution

The fourth proportional to 24,533.65, 36,812.63 and 9,742.24 is: 14,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.65 : 36,812.63 = 9,742.24 : x
  2. Step 2: Convert to fraction form
    24,533.65/36,812.63 = 9,742.24/x
  3. Step 3: Cross multiply
    24,533.65x = 36,812.63 × 9,742.24
  4. Step 4: Simplify right side
    24,533.65x = 358,637,476.49
  5. Step 5: Solve for x
    x = 358,637,476.49/24,533.65
  6. Step 6: Final answer
    x = 14,618.19

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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.