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Finding the Fourth Proportional to 14,319, 19,762.38 and 8,733.24

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Solution

The fourth proportional to 14,319, 19,762.38 and 8,733.24 is: 12,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319 : 19,762.38 = 8,733.24 : x
  2. Step 2: Convert to fraction form
    14,319/19,762.38 = 8,733.24/x
  3. Step 3: Cross multiply
    14,319x = 19,762.38 × 8,733.24
  4. Step 4: Simplify right side
    14,319x = 172,589,607.51
  5. Step 5: Solve for x
    x = 172,589,607.51/14,319
  6. Step 6: Final answer
    x = 12,053.19

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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.