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Finding the Fourth Proportional to 14,925.58, 22,393.23 and 7,135

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Solution

The fourth proportional to 14,925.58, 22,393.23 and 7,135 is: 10,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925.58 : 22,393.23 = 7,135 : x
  2. Step 2: Convert to fraction form
    14,925.58/22,393.23 = 7,135/x
  3. Step 3: Cross multiply
    14,925.58x = 22,393.23 × 7,135
  4. Step 4: Simplify right side
    14,925.58x = 159,775,696.05
  5. Step 5: Solve for x
    x = 159,775,696.05/14,925.58
  6. Step 6: Final answer
    x = 10,704.82

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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.