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Finding the Fourth Proportional to 19,735.40, 29,588.52 and 9,335

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Solution

The fourth proportional to 19,735.40, 29,588.52 and 9,335 is: 13,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.40 : 29,588.52 = 9,335 : x
  2. Step 2: Convert to fraction form
    19,735.40/29,588.52 = 9,335/x
  3. Step 3: Cross multiply
    19,735.40x = 29,588.52 × 9,335
  4. Step 4: Simplify right side
    19,735.40x = 276,208,834.20
  5. Step 5: Solve for x
    x = 276,208,834.20/19,735.40
  6. Step 6: Final answer
    x = 13,995.60

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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.