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Finding the Fourth Proportional to 15,230.62, 22,782.75 and 14,297.50

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Solution

The fourth proportional to 15,230.62, 22,782.75 and 14,297.50 is: 21,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,230.62 : 22,782.75 = 14,297.50 : x
  2. Step 2: Convert to fraction form
    15,230.62/22,782.75 = 14,297.50/x
  3. Step 3: Cross multiply
    15,230.62x = 22,782.75 × 14,297.50
  4. Step 4: Simplify right side
    15,230.62x = 325,736,368.13
  5. Step 5: Solve for x
    x = 325,736,368.13/15,230.62
  6. Step 6: Final answer
    x = 21,386.94

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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.