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Finding the Fourth Proportional to 19,868.16, 29,810.40 and 9,473.28

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Solution

The fourth proportional to 19,868.16, 29,810.40 and 9,473.28 is: 14,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868.16 : 29,810.40 = 9,473.28 : x
  2. Step 2: Convert to fraction form
    19,868.16/29,810.40 = 9,473.28/x
  3. Step 3: Cross multiply
    19,868.16x = 29,810.40 × 9,473.28
  4. Step 4: Simplify right side
    19,868.16x = 282,402,266.11
  5. Step 5: Solve for x
    x = 282,402,266.11/19,868.16
  6. Step 6: Final answer
    x = 14,213.81

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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.