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Finding the Fourth Proportional to 19,792.70, 29,647.65 and 9,271.70

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Solution

The fourth proportional to 19,792.70, 29,647.65 and 9,271.70 is: 13,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792.70 : 29,647.65 = 9,271.70 : x
  2. Step 2: Convert to fraction form
    19,792.70/29,647.65 = 9,271.70/x
  3. Step 3: Cross multiply
    19,792.70x = 29,647.65 × 9,271.70
  4. Step 4: Simplify right side
    19,792.70x = 274,884,116.51
  5. Step 5: Solve for x
    x = 274,884,116.51/19,792.70
  6. Step 6: Final answer
    x = 13,888.16

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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.