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Finding the Fourth Proportional to 10,830.10, 15,142.70 and 10,830.10

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Solution

The fourth proportional to 10,830.10, 15,142.70 and 10,830.10 is: 15,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.10 : 15,142.70 = 10,830.10 : x
  2. Step 2: Convert to fraction form
    10,830.10/15,142.70 = 10,830.10/x
  3. Step 3: Cross multiply
    10,830.10x = 15,142.70 × 10,830.10
  4. Step 4: Simplify right side
    10,830.10x = 163,996,955.27
  5. Step 5: Solve for x
    x = 163,996,955.27/10,830.10
  6. Step 6: Final answer
    x = 15,142.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.