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Finding the Fourth Proportional to 17,897.40, 24,696.90 and 10,823.40

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Solution

The fourth proportional to 17,897.40, 24,696.90 and 10,823.40 is: 14,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.40 : 24,696.90 = 10,823.40 : x
  2. Step 2: Convert to fraction form
    17,897.40/24,696.90 = 10,823.40/x
  3. Step 3: Cross multiply
    17,897.40x = 24,696.90 × 10,823.40
  4. Step 4: Simplify right side
    17,897.40x = 267,304,427.46
  5. Step 5: Solve for x
    x = 267,304,427.46/17,897.40
  6. Step 6: Final answer
    x = 14,935.38

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1.5x scale

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.