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Finding the Fourth Proportional to 17,827.80, 26,802.45 and 14,564.58

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Solution

The fourth proportional to 17,827.80, 26,802.45 and 14,564.58 is: 21,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.80 : 26,802.45 = 14,564.58 : x
  2. Step 2: Convert to fraction form
    17,827.80/26,802.45 = 14,564.58/x
  3. Step 3: Cross multiply
    17,827.80x = 26,802.45 × 14,564.58
  4. Step 4: Simplify right side
    17,827.80x = 390,366,427.22
  5. Step 5: Solve for x
    x = 390,366,427.22/17,827.80
  6. Step 6: Final answer
    x = 21,896.50

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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.