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Finding the Fourth Proportional to 13,005.64, 19,510.50 and 5,612.20

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Solution

The fourth proportional to 13,005.64, 19,510.50 and 5,612.20 is: 8,419.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.64 : 19,510.50 = 5,612.20 : x
  2. Step 2: Convert to fraction form
    13,005.64/19,510.50 = 5,612.20/x
  3. Step 3: Cross multiply
    13,005.64x = 19,510.50 × 5,612.20
  4. Step 4: Simplify right side
    13,005.64x = 109,496,828.10
  5. Step 5: Solve for x
    x = 109,496,828.10/13,005.64
  6. Step 6: Final answer
    x = 8,419.18

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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.