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Finding the Fourth Proportional to 15,364.14, 23,056.83 and 7,045.08

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Solution

The fourth proportional to 15,364.14, 23,056.83 and 7,045.08 is: 10,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364.14 : 23,056.83 = 7,045.08 : x
  2. Step 2: Convert to fraction form
    15,364.14/23,056.83 = 7,045.08/x
  3. Step 3: Cross multiply
    15,364.14x = 23,056.83 × 7,045.08
  4. Step 4: Simplify right side
    15,364.14x = 162,437,211.90
  5. Step 5: Solve for x
    x = 162,437,211.90/15,364.14
  6. Step 6: Final answer
    x = 10,572.49

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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.