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Finding the Fourth Proportional to 14,017.46, 21,029.73 and 4,657.52

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Solution

The fourth proportional to 14,017.46, 21,029.73 and 4,657.52 is: 6,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.46 : 21,029.73 = 4,657.52 : x
  2. Step 2: Convert to fraction form
    14,017.46/21,029.73 = 4,657.52/x
  3. Step 3: Cross multiply
    14,017.46x = 21,029.73 × 4,657.52
  4. Step 4: Simplify right side
    14,017.46x = 97,946,440.64
  5. Step 5: Solve for x
    x = 97,946,440.64/14,017.46
  6. Step 6: Final answer
    x = 6,987.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.