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Finding the Fourth Proportional to 24,457.63, 36,670.65 and 7,812.13

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Solution

The fourth proportional to 24,457.63, 36,670.65 and 7,812.13 is: 11,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.63 : 36,670.65 = 7,812.13 : x
  2. Step 2: Convert to fraction form
    24,457.63/36,670.65 = 7,812.13/x
  3. Step 3: Cross multiply
    24,457.63x = 36,670.65 × 7,812.13
  4. Step 4: Simplify right side
    24,457.63x = 286,475,976.66
  5. Step 5: Solve for x
    x = 286,475,976.66/24,457.63
  6. Step 6: Final answer
    x = 11,713.15

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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.