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Finding the Fourth Proportional to 14,602.61, 21,907.06 and 4,741.67

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Solution

The fourth proportional to 14,602.61, 21,907.06 and 4,741.67 is: 7,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.61 : 21,907.06 = 4,741.67 : x
  2. Step 2: Convert to fraction form
    14,602.61/21,907.06 = 4,741.67/x
  3. Step 3: Cross multiply
    14,602.61x = 21,907.06 × 4,741.67
  4. Step 4: Simplify right side
    14,602.61x = 103,876,092.10
  5. Step 5: Solve for x
    x = 103,876,092.10/14,602.61
  6. Step 6: Final answer
    x = 7,113.53

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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.