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Finding the Fourth Proportional to 14,213.16, 19,590.66 and 9,495.72

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Solution

The fourth proportional to 14,213.16, 19,590.66 and 9,495.72 is: 13,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.16 : 19,590.66 = 9,495.72 : x
  2. Step 2: Convert to fraction form
    14,213.16/19,590.66 = 9,495.72/x
  3. Step 3: Cross multiply
    14,213.16x = 19,590.66 × 9,495.72
  4. Step 4: Simplify right side
    14,213.16x = 186,027,421.98
  5. Step 5: Solve for x
    x = 186,027,421.98/14,213.16
  6. Step 6: Final answer
    x = 13,088.39

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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.