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Finding the Fourth Proportional to 14,341.29, 19,814.74 and 11,339.38

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Solution

The fourth proportional to 14,341.29, 19,814.74 and 11,339.38 is: 15,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.29 : 19,814.74 = 11,339.38 : x
  2. Step 2: Convert to fraction form
    14,341.29/19,814.74 = 11,339.38/x
  3. Step 3: Cross multiply
    14,341.29x = 19,814.74 × 11,339.38
  4. Step 4: Simplify right side
    14,341.29x = 224,686,866.46
  5. Step 5: Solve for x
    x = 224,686,866.46/14,341.29
  6. Step 6: Final answer
    x = 15,667.13

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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.