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Finding the Fourth Proportional to 14,103.69, 19,457.87 and 9,070.69

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Solution

The fourth proportional to 14,103.69, 19,457.87 and 9,070.69 is: 12,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.69 : 19,457.87 = 9,070.69 : x
  2. Step 2: Convert to fraction form
    14,103.69/19,457.87 = 9,070.69/x
  3. Step 3: Cross multiply
    14,103.69x = 19,457.87 × 9,070.69
  4. Step 4: Simplify right side
    14,103.69x = 176,496,306.83
  5. Step 5: Solve for x
    x = 176,496,306.83/14,103.69
  6. Step 6: Final answer
    x = 12,514.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.