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Finding the Fourth Proportional to 13,709.03, 20,547 and 6,303.33

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Solution

The fourth proportional to 13,709.03, 20,547 and 6,303.33 is: 9,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.03 : 20,547 = 6,303.33 : x
  2. Step 2: Convert to fraction form
    13,709.03/20,547 = 6,303.33/x
  3. Step 3: Cross multiply
    13,709.03x = 20,547 × 6,303.33
  4. Step 4: Simplify right side
    13,709.03x = 129,514,521.51
  5. Step 5: Solve for x
    x = 129,514,521.51/13,709.03
  6. Step 6: Final answer
    x = 9,447.39

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