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Finding the Fourth Proportional to 28,822, 39,774.36 and 15,574

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Solution

The fourth proportional to 28,822, 39,774.36 and 15,574 is: 21,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,822 : 39,774.36 = 15,574 : x
  2. Step 2: Convert to fraction form
    28,822/39,774.36 = 15,574/x
  3. Step 3: Cross multiply
    28,822x = 39,774.36 × 15,574
  4. Step 4: Simplify right side
    28,822x = 619,445,882.64
  5. Step 5: Solve for x
    x = 619,445,882.64/28,822
  6. Step 6: Final answer
    x = 21,492.12

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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.