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Finding the Fourth Proportional to 10,430.98, 15,646.47 and 2,533.44

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Solution

The fourth proportional to 10,430.98, 15,646.47 and 2,533.44 is: 3,800.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.98 : 15,646.47 = 2,533.44 : x
  2. Step 2: Convert to fraction form
    10,430.98/15,646.47 = 2,533.44/x
  3. Step 3: Cross multiply
    10,430.98x = 15,646.47 × 2,533.44
  4. Step 4: Simplify right side
    10,430.98x = 39,639,442.13
  5. Step 5: Solve for x
    x = 39,639,442.13/10,430.98
  6. Step 6: Final answer
    x = 3,800.17

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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.