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Finding the Fourth Proportional to 25,047.60, 37,566.96 and 9,465.36

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Solution

The fourth proportional to 25,047.60, 37,566.96 and 9,465.36 is: 14,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047.60 : 37,566.96 = 9,465.36 : x
  2. Step 2: Convert to fraction form
    25,047.60/37,566.96 = 9,465.36/x
  3. Step 3: Cross multiply
    25,047.60x = 37,566.96 × 9,465.36
  4. Step 4: Simplify right side
    25,047.60x = 355,584,800.51
  5. Step 5: Solve for x
    x = 355,584,800.51/25,047.60
  6. Step 6: Final answer
    x = 14,196.36

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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.