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Finding the Fourth Proportional to 14,017.32, 21,023.82 and 4,657.50

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Solution

The fourth proportional to 14,017.32, 21,023.82 and 4,657.50 is: 6,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.32 : 21,023.82 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    14,017.32/21,023.82 = 4,657.50/x
  3. Step 3: Cross multiply
    14,017.32x = 21,023.82 × 4,657.50
  4. Step 4: Simplify right side
    14,017.32x = 97,918,441.65
  5. Step 5: Solve for x
    x = 97,918,441.65/14,017.32
  6. Step 6: Final answer
    x = 6,985.53

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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.