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Finding the Fourth Proportional to 14,897.30, 20,830.30 and 14,897.30

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Solution

The fourth proportional to 14,897.30, 20,830.30 and 14,897.30 is: 20,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.30 : 20,830.30 = 14,897.30 : x
  2. Step 2: Convert to fraction form
    14,897.30/20,830.30 = 14,897.30/x
  3. Step 3: Cross multiply
    14,897.30x = 20,830.30 × 14,897.30
  4. Step 4: Simplify right side
    14,897.30x = 310,315,228.19
  5. Step 5: Solve for x
    x = 310,315,228.19/14,897.30
  6. Step 6: Final answer
    x = 20,830.30

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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.