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Finding the Fourth Proportional to 24,707.63, 34,098.98 and 14,098.86

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Solution

The fourth proportional to 24,707.63, 34,098.98 and 14,098.86 is: 19,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,707.63 : 34,098.98 = 14,098.86 : x
  2. Step 2: Convert to fraction form
    24,707.63/34,098.98 = 14,098.86/x
  3. Step 3: Cross multiply
    24,707.63x = 34,098.98 × 14,098.86
  4. Step 4: Simplify right side
    24,707.63x = 480,756,674.67
  5. Step 5: Solve for x
    x = 480,756,674.67/24,707.63
  6. Step 6: Final answer
    x = 19,457.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.