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Finding the Fourth Proportional to 15,509.46, 23,264.16 and 4,565.46

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Solution

The fourth proportional to 15,509.46, 23,264.16 and 4,565.46 is: 6,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.46 : 23,264.16 = 4,565.46 : x
  2. Step 2: Convert to fraction form
    15,509.46/23,264.16 = 4,565.46/x
  3. Step 3: Cross multiply
    15,509.46x = 23,264.16 × 4,565.46
  4. Step 4: Simplify right side
    15,509.46x = 106,211,591.91
  5. Step 5: Solve for x
    x = 106,211,591.91/15,509.46
  6. Step 6: Final answer
    x = 6,848.18

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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.