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Finding the Fourth Proportional to 15,898.82, 23,848.21 and 6,038.08

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Solution

The fourth proportional to 15,898.82, 23,848.21 and 6,038.08 is: 9,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.82 : 23,848.21 = 6,038.08 : x
  2. Step 2: Convert to fraction form
    15,898.82/23,848.21 = 6,038.08/x
  3. Step 3: Cross multiply
    15,898.82x = 23,848.21 × 6,038.08
  4. Step 4: Simplify right side
    15,898.82x = 143,997,437.19
  5. Step 5: Solve for x
    x = 143,997,437.19/15,898.82
  6. Step 6: Final answer
    x = 9,057.12

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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.