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Finding the Fourth Proportional to 10,830, 14,855.55 and 10,736.40

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Solution

The fourth proportional to 10,830, 14,855.55 and 10,736.40 is: 14,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830 : 14,855.55 = 10,736.40 : x
  2. Step 2: Convert to fraction form
    10,830/14,855.55 = 10,736.40/x
  3. Step 3: Cross multiply
    10,830x = 14,855.55 × 10,736.40
  4. Step 4: Simplify right side
    10,830x = 159,495,127.02
  5. Step 5: Solve for x
    x = 159,495,127.02/10,830
  6. Step 6: Final answer
    x = 14,727.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.