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Finding the Fourth Proportional to 25,055.71, 37,587.90 and 8,417.36

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Solution

The fourth proportional to 25,055.71, 37,587.90 and 8,417.36 is: 12,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055.71 : 37,587.90 = 8,417.36 : x
  2. Step 2: Convert to fraction form
    25,055.71/37,587.90 = 8,417.36/x
  3. Step 3: Cross multiply
    25,055.71x = 37,587.90 × 8,417.36
  4. Step 4: Simplify right side
    25,055.71x = 316,390,885.94
  5. Step 5: Solve for x
    x = 316,390,885.94/25,055.71
  6. Step 6: Final answer
    x = 12,627.50

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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.