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Finding the Fourth Proportional to 14,300.64, 21,445.02 and 5,530.50

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Solution

The fourth proportional to 14,300.64, 21,445.02 and 5,530.50 is: 8,293.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.64 : 21,445.02 = 5,530.50 : x
  2. Step 2: Convert to fraction form
    14,300.64/21,445.02 = 5,530.50/x
  3. Step 3: Cross multiply
    14,300.64x = 21,445.02 × 5,530.50
  4. Step 4: Simplify right side
    14,300.64x = 118,601,683.11
  5. Step 5: Solve for x
    x = 118,601,683.11/14,300.64
  6. Step 6: Final answer
    x = 8,293.45

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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.