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Finding the Fourth Proportional to 13,048.49, 19,547.55 and 7,787.70

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Solution

The fourth proportional to 13,048.49, 19,547.55 and 7,787.70 is: 11,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.49 : 19,547.55 = 7,787.70 : x
  2. Step 2: Convert to fraction form
    13,048.49/19,547.55 = 7,787.70/x
  3. Step 3: Cross multiply
    13,048.49x = 19,547.55 × 7,787.70
  4. Step 4: Simplify right side
    13,048.49x = 152,230,416.20
  5. Step 5: Solve for x
    x = 152,230,416.20/13,048.49
  6. Step 6: Final answer
    x = 11,666.51

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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.