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Finding the Fourth Proportional to 21,509.35, 29,681.51 and 11,948.51

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Solution

The fourth proportional to 21,509.35, 29,681.51 and 11,948.51 is: 16,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.35 : 29,681.51 = 11,948.51 : x
  2. Step 2: Convert to fraction form
    21,509.35/29,681.51 = 11,948.51/x
  3. Step 3: Cross multiply
    21,509.35x = 29,681.51 × 11,948.51
  4. Step 4: Simplify right side
    21,509.35x = 354,649,833.51
  5. Step 5: Solve for x
    x = 354,649,833.51/21,509.35
  6. Step 6: Final answer
    x = 16,488.17

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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.