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Finding the Fourth Proportional to 18,428.16, 25,430.87 and 10,470.40

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Solution

The fourth proportional to 18,428.16, 25,430.87 and 10,470.40 is: 14,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,428.16 : 25,430.87 = 10,470.40 : x
  2. Step 2: Convert to fraction form
    18,428.16/25,430.87 = 10,470.40/x
  3. Step 3: Cross multiply
    18,428.16x = 25,430.87 × 10,470.40
  4. Step 4: Simplify right side
    18,428.16x = 266,271,381.25
  5. Step 5: Solve for x
    x = 266,271,381.25/18,428.16
  6. Step 6: Final answer
    x = 14,449.16

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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.