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Finding the Fourth Proportional to 21,008.57, 28,989.38 and 12,828.06

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Solution

The fourth proportional to 21,008.57, 28,989.38 and 12,828.06 is: 17,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.57 : 28,989.38 = 12,828.06 : x
  2. Step 2: Convert to fraction form
    21,008.57/28,989.38 = 12,828.06/x
  3. Step 3: Cross multiply
    21,008.57x = 28,989.38 × 12,828.06
  4. Step 4: Simplify right side
    21,008.57x = 371,877,538.07
  5. Step 5: Solve for x
    x = 371,877,538.07/21,008.57
  6. Step 6: Final answer
    x = 17,701.23

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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.