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Finding the Fourth Proportional to 14,045.40, 21,070.83 and 4,184.46

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Solution

The fourth proportional to 14,045.40, 21,070.83 and 4,184.46 is: 6,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045.40 : 21,070.83 = 4,184.46 : x
  2. Step 2: Convert to fraction form
    14,045.40/21,070.83 = 4,184.46/x
  3. Step 3: Cross multiply
    14,045.40x = 21,070.83 × 4,184.46
  4. Step 4: Simplify right side
    14,045.40x = 88,170,060.99
  5. Step 5: Solve for x
    x = 88,170,060.99/14,045.40
  6. Step 6: Final answer
    x = 6,277.50

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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.