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Finding the Fourth Proportional to 26,360, 36,376.46 and 14,423.16

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Solution

The fourth proportional to 26,360, 36,376.46 and 14,423.16 is: 19,903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,360 : 36,376.46 = 14,423.16 : x
  2. Step 2: Convert to fraction form
    26,360/36,376.46 = 14,423.16/x
  3. Step 3: Cross multiply
    26,360x = 36,376.46 × 14,423.16
  4. Step 4: Simplify right side
    26,360x = 524,663,502.81
  5. Step 5: Solve for x
    x = 524,663,502.81/26,360
  6. Step 6: Final answer
    x = 19,903.77

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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.