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Finding the Fourth Proportional to 15,897.46, 23,828.05 and 6,403.70

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Solution

The fourth proportional to 15,897.46, 23,828.05 and 6,403.70 is: 9,598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.46 : 23,828.05 = 6,403.70 : x
  2. Step 2: Convert to fraction form
    15,897.46/23,828.05 = 6,403.70/x
  3. Step 3: Cross multiply
    15,897.46x = 23,828.05 × 6,403.70
  4. Step 4: Simplify right side
    15,897.46x = 152,587,662.00
  5. Step 5: Solve for x
    x = 152,587,662.00/15,897.46
  6. Step 6: Final answer
    x = 9,598.24

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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.