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Finding the Fourth Proportional to 25,710.46, 38,571.46 and 9,070.63

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Solution

The fourth proportional to 25,710.46, 38,571.46 and 9,070.63 is: 13,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.46 : 38,571.46 = 9,070.63 : x
  2. Step 2: Convert to fraction form
    25,710.46/38,571.46 = 9,070.63/x
  3. Step 3: Cross multiply
    25,710.46x = 38,571.46 × 9,070.63
  4. Step 4: Simplify right side
    25,710.46x = 349,867,323.11
  5. Step 5: Solve for x
    x = 349,867,323.11/25,710.46
  6. Step 6: Final answer
    x = 13,607.98

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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.