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Finding the Fourth Proportional to 15,283.10, 22,925.19 and 4,893.50

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Solution

The fourth proportional to 15,283.10, 22,925.19 and 4,893.50 is: 7,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.10 : 22,925.19 = 4,893.50 : x
  2. Step 2: Convert to fraction form
    15,283.10/22,925.19 = 4,893.50/x
  3. Step 3: Cross multiply
    15,283.10x = 22,925.19 × 4,893.50
  4. Step 4: Simplify right side
    15,283.10x = 112,184,417.27
  5. Step 5: Solve for x
    x = 112,184,417.27/15,283.10
  6. Step 6: Final answer
    x = 7,340.42

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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.