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Finding the Fourth Proportional to 19,461.63, 29,085.81 and 14,207.70

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Solution

The fourth proportional to 19,461.63, 29,085.81 and 14,207.70 is: 21,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461.63 : 29,085.81 = 14,207.70 : x
  2. Step 2: Convert to fraction form
    19,461.63/29,085.81 = 14,207.70/x
  3. Step 3: Cross multiply
    19,461.63x = 29,085.81 × 14,207.70
  4. Step 4: Simplify right side
    19,461.63x = 413,242,558.49
  5. Step 5: Solve for x
    x = 413,242,558.49/19,461.63
  6. Step 6: Final answer
    x = 21,233.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.