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Finding the Fourth Proportional to 14,156.64, 21,235.01 and 4,296

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Solution

The fourth proportional to 14,156.64, 21,235.01 and 4,296 is: 6,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.64 : 21,235.01 = 4,296 : x
  2. Step 2: Convert to fraction form
    14,156.64/21,235.01 = 4,296/x
  3. Step 3: Cross multiply
    14,156.64x = 21,235.01 × 4,296
  4. Step 4: Simplify right side
    14,156.64x = 91,225,602.96
  5. Step 5: Solve for x
    x = 91,225,602.96/14,156.64
  6. Step 6: Final answer
    x = 6,444.02

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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.