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Finding the Fourth Proportional to 15,762.71, 23,574.35 and 14,019.95

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Solution

The fourth proportional to 15,762.71, 23,574.35 and 14,019.95 is: 20,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.71 : 23,574.35 = 14,019.95 : x
  2. Step 2: Convert to fraction form
    15,762.71/23,574.35 = 14,019.95/x
  3. Step 3: Cross multiply
    15,762.71x = 23,574.35 × 14,019.95
  4. Step 4: Simplify right side
    15,762.71x = 330,511,020.31
  5. Step 5: Solve for x
    x = 330,511,020.31/15,762.71
  6. Step 6: Final answer
    x = 20,967.91

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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.