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Finding the Fourth Proportional to 15,503.40, 21,394.44 and 8,430

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Solution

The fourth proportional to 15,503.40, 21,394.44 and 8,430 is: 11,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503.40 : 21,394.44 = 8,430 : x
  2. Step 2: Convert to fraction form
    15,503.40/21,394.44 = 8,430/x
  3. Step 3: Cross multiply
    15,503.40x = 21,394.44 × 8,430
  4. Step 4: Simplify right side
    15,503.40x = 180,355,129.20
  5. Step 5: Solve for x
    x = 180,355,129.20/15,503.40
  6. Step 6: Final answer
    x = 11,633.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.