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Finding the Fourth Proportional to 25,668, 35,421.84 and 14,490

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Solution

The fourth proportional to 25,668, 35,421.84 and 14,490 is: 19,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668 : 35,421.84 = 14,490 : x
  2. Step 2: Convert to fraction form
    25,668/35,421.84 = 14,490/x
  3. Step 3: Cross multiply
    25,668x = 35,421.84 × 14,490
  4. Step 4: Simplify right side
    25,668x = 513,262,461.60
  5. Step 5: Solve for x
    x = 513,262,461.60/25,668
  6. Step 6: Final answer
    x = 19,996.20

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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.