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Finding the Fourth Proportional to 13,030.84, 19,549.50 and 5,133.88

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Solution

The fourth proportional to 13,030.84, 19,549.50 and 5,133.88 is: 7,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.84 : 19,549.50 = 5,133.88 : x
  2. Step 2: Convert to fraction form
    13,030.84/19,549.50 = 5,133.88/x
  3. Step 3: Cross multiply
    13,030.84x = 19,549.50 × 5,133.88
  4. Step 4: Simplify right side
    13,030.84x = 100,364,787.06
  5. Step 5: Solve for x
    x = 100,364,787.06/13,030.84
  6. Step 6: Final answer
    x = 7,702.10

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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.