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Finding the Fourth Proportional to 15,364.32, 23,045.67 and 7,570.50

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Solution

The fourth proportional to 15,364.32, 23,045.67 and 7,570.50 is: 11,355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364.32 : 23,045.67 = 7,570.50 : x
  2. Step 2: Convert to fraction form
    15,364.32/23,045.67 = 7,570.50/x
  3. Step 3: Cross multiply
    15,364.32x = 23,045.67 × 7,570.50
  4. Step 4: Simplify right side
    15,364.32x = 174,467,244.74
  5. Step 5: Solve for x
    x = 174,467,244.74/15,364.32
  6. Step 6: Final answer
    x = 11,355.35

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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.