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Finding the Fourth Proportional to 19,606.32, 29,394.45 and 9,738

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Solution

The fourth proportional to 19,606.32, 29,394.45 and 9,738 is: 14,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606.32 : 29,394.45 = 9,738 : x
  2. Step 2: Convert to fraction form
    19,606.32/29,394.45 = 9,738/x
  3. Step 3: Cross multiply
    19,606.32x = 29,394.45 × 9,738
  4. Step 4: Simplify right side
    19,606.32x = 286,243,154.10
  5. Step 5: Solve for x
    x = 286,243,154.10/19,606.32
  6. Step 6: Final answer
    x = 14,599.53

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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.