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Finding the Fourth Proportional to 14,907.60, 22,354.16 and 8,669.40

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Solution

The fourth proportional to 14,907.60, 22,354.16 and 8,669.40 is: 12,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.60 : 22,354.16 = 8,669.40 : x
  2. Step 2: Convert to fraction form
    14,907.60/22,354.16 = 8,669.40/x
  3. Step 3: Cross multiply
    14,907.60x = 22,354.16 × 8,669.40
  4. Step 4: Simplify right side
    14,907.60x = 193,797,111.36
  5. Step 5: Solve for x
    x = 193,797,111.36/14,907.60
  6. Step 6: Final answer
    x = 12,999.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.