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Finding the Fourth Proportional to 17,644.84, 26,445.93 and 6,547.84

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Solution

The fourth proportional to 17,644.84, 26,445.93 and 6,547.84 is: 9,813.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.84 : 26,445.93 = 6,547.84 : x
  2. Step 2: Convert to fraction form
    17,644.84/26,445.93 = 6,547.84/x
  3. Step 3: Cross multiply
    17,644.84x = 26,445.93 × 6,547.84
  4. Step 4: Simplify right side
    17,644.84x = 173,163,718.29
  5. Step 5: Solve for x
    x = 173,163,718.29/17,644.84
  6. Step 6: Final answer
    x = 9,813.84

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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.