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Finding the Fourth Proportional to 13,061.51, 19,582.22 and 6,482.60

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Solution

The fourth proportional to 13,061.51, 19,582.22 and 6,482.60 is: 9,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.51 : 19,582.22 = 6,482.60 : x
  2. Step 2: Convert to fraction form
    13,061.51/19,582.22 = 6,482.60/x
  3. Step 3: Cross multiply
    13,061.51x = 19,582.22 × 6,482.60
  4. Step 4: Simplify right side
    13,061.51x = 126,943,617.67
  5. Step 5: Solve for x
    x = 126,943,617.67/13,061.51
  6. Step 6: Final answer
    x = 9,718.91

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Why These Related Problems?

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