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Finding the Fourth Proportional to 25,800.53, 38,706.91 and 8,030.36

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Solution

The fourth proportional to 25,800.53, 38,706.91 and 8,030.36 is: 12,047.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.53 : 38,706.91 = 8,030.36 : x
  2. Step 2: Convert to fraction form
    25,800.53/38,706.91 = 8,030.36/x
  3. Step 3: Cross multiply
    25,800.53x = 38,706.91 × 8,030.36
  4. Step 4: Simplify right side
    25,800.53x = 310,830,498.48
  5. Step 5: Solve for x
    x = 310,830,498.48/25,800.53
  6. Step 6: Final answer
    x = 12,047.45

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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.