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Finding the Fourth Proportional to 15,916.80, 23,815.16 and 14,300

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Solution

The fourth proportional to 15,916.80, 23,815.16 and 14,300 is: 21,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.80 : 23,815.16 = 14,300 : x
  2. Step 2: Convert to fraction form
    15,916.80/23,815.16 = 14,300/x
  3. Step 3: Cross multiply
    15,916.80x = 23,815.16 × 14,300
  4. Step 4: Simplify right side
    15,916.80x = 340,556,788
  5. Step 5: Solve for x
    x = 340,556,788/15,916.80
  6. Step 6: Final answer
    x = 21,396.06

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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.