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Finding the Fourth Proportional to 13,000.84, 19,501.20 and 3,140.08

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Solution

The fourth proportional to 13,000.84, 19,501.20 and 3,140.08 is: 4,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.84 : 19,501.20 = 3,140.08 : x
  2. Step 2: Convert to fraction form
    13,000.84/19,501.20 = 3,140.08/x
  3. Step 3: Cross multiply
    13,000.84x = 19,501.20 × 3,140.08
  4. Step 4: Simplify right side
    13,000.84x = 61,235,328.10
  5. Step 5: Solve for x
    x = 61,235,328.10/13,000.84
  6. Step 6: Final answer
    x = 4,710.11

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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.