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Finding the Fourth Proportional to 10,830.70, 16,246.05 and 9,210.70

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Solution

The fourth proportional to 10,830.70, 16,246.05 and 9,210.70 is: 13,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.70 : 16,246.05 = 9,210.70 : x
  2. Step 2: Convert to fraction form
    10,830.70/16,246.05 = 9,210.70/x
  3. Step 3: Cross multiply
    10,830.70x = 16,246.05 × 9,210.70
  4. Step 4: Simplify right side
    10,830.70x = 149,637,492.74
  5. Step 5: Solve for x
    x = 149,637,492.74/10,830.70
  6. Step 6: Final answer
    x = 13,816.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.