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Finding the Fourth Proportional to 18,827.89, 25,980.63 and 10,870.45

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Solution

The fourth proportional to 18,827.89, 25,980.63 and 10,870.45 is: 15,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827.89 : 25,980.63 = 10,870.45 : x
  2. Step 2: Convert to fraction form
    18,827.89/25,980.63 = 10,870.45/x
  3. Step 3: Cross multiply
    18,827.89x = 25,980.63 × 10,870.45
  4. Step 4: Simplify right side
    18,827.89x = 282,421,139.38
  5. Step 5: Solve for x
    x = 282,421,139.38/18,827.89
  6. Step 6: Final answer
    x = 15,000.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.