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Finding the Fourth Proportional to 14,970.42, 20,657.34 and 9,001.80

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Solution

The fourth proportional to 14,970.42, 20,657.34 and 9,001.80 is: 12,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.42 : 20,657.34 = 9,001.80 : x
  2. Step 2: Convert to fraction form
    14,970.42/20,657.34 = 9,001.80/x
  3. Step 3: Cross multiply
    14,970.42x = 20,657.34 × 9,001.80
  4. Step 4: Simplify right side
    14,970.42x = 185,953,243.21
  5. Step 5: Solve for x
    x = 185,953,243.21/14,970.42
  6. Step 6: Final answer
    x = 12,421.38

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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.