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Finding the Fourth Proportional to 22,430.16, 30,947.40 and 14,472.72

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Solution

The fourth proportional to 22,430.16, 30,947.40 and 14,472.72 is: 19,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.16 : 30,947.40 = 14,472.72 : x
  2. Step 2: Convert to fraction form
    22,430.16/30,947.40 = 14,472.72/x
  3. Step 3: Cross multiply
    22,430.16x = 30,947.40 × 14,472.72
  4. Step 4: Simplify right side
    22,430.16x = 447,893,054.93
  5. Step 5: Solve for x
    x = 447,893,054.93/22,430.16
  6. Step 6: Final answer
    x = 19,968.34

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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.