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Finding the Fourth Proportional to 14,897.10, 22,360.05 and 7,509.90

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Solution

The fourth proportional to 14,897.10, 22,360.05 and 7,509.90 is: 11,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.10 : 22,360.05 = 7,509.90 : x
  2. Step 2: Convert to fraction form
    14,897.10/22,360.05 = 7,509.90/x
  3. Step 3: Cross multiply
    14,897.10x = 22,360.05 × 7,509.90
  4. Step 4: Simplify right side
    14,897.10x = 167,921,739.50
  5. Step 5: Solve for x
    x = 167,921,739.50/14,897.10
  6. Step 6: Final answer
    x = 11,272.11

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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.