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Finding the Fourth Proportional to 15,094.42, 22,612.18 and 9,884.50

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Solution

The fourth proportional to 15,094.42, 22,612.18 and 9,884.50 is: 14,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.42 : 22,612.18 = 9,884.50 : x
  2. Step 2: Convert to fraction form
    15,094.42/22,612.18 = 9,884.50/x
  3. Step 3: Cross multiply
    15,094.42x = 22,612.18 × 9,884.50
  4. Step 4: Simplify right side
    15,094.42x = 223,510,068.50
  5. Step 5: Solve for x
    x = 223,510,068.50/15,094.42
  6. Step 6: Final answer
    x = 14,807.46

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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.