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Finding the Fourth Proportional to 12,903.07, 19,354.59 and 8,519.50

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Solution

The fourth proportional to 12,903.07, 19,354.59 and 8,519.50 is: 12,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.07 : 19,354.59 = 8,519.50 : x
  2. Step 2: Convert to fraction form
    12,903.07/19,354.59 = 8,519.50/x
  3. Step 3: Cross multiply
    12,903.07x = 19,354.59 × 8,519.50
  4. Step 4: Simplify right side
    12,903.07x = 164,891,429.51
  5. Step 5: Solve for x
    x = 164,891,429.51/12,903.07
  6. Step 6: Final answer
    x = 12,779.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.