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Finding the Fourth Proportional to 15,547.80, 21,813 and 15,547.80

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Solution

The fourth proportional to 15,547.80, 21,813 and 15,547.80 is: 21,813

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,547.80 : 21,813 = 15,547.80 : x
  2. Step 2: Convert to fraction form
    15,547.80/21,813 = 15,547.80/x
  3. Step 3: Cross multiply
    15,547.80x = 21,813 × 15,547.80
  4. Step 4: Simplify right side
    15,547.80x = 339,144,161.40
  5. Step 5: Solve for x
    x = 339,144,161.40/15,547.80
  6. Step 6: Final answer
    x = 21,813

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.