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Finding the Fourth Proportional to 24,030.30, 36,058.36 and 10,000

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Solution

The fourth proportional to 24,030.30, 36,058.36 and 10,000 is: 15,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,030.30 : 36,058.36 = 10,000 : x
  2. Step 2: Convert to fraction form
    24,030.30/36,058.36 = 10,000/x
  3. Step 3: Cross multiply
    24,030.30x = 36,058.36 × 10,000
  4. Step 4: Simplify right side
    24,030.30x = 360,583,600
  5. Step 5: Solve for x
    x = 360,583,600/24,030.30
  6. Step 6: Final answer
    x = 15,005.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.