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Finding the Fourth Proportional to 12,302.51, 18,459.18 and 6,457.77

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Solution

The fourth proportional to 12,302.51, 18,459.18 and 6,457.77 is: 9,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.51 : 18,459.18 = 6,457.77 : x
  2. Step 2: Convert to fraction form
    12,302.51/18,459.18 = 6,457.77/x
  3. Step 3: Cross multiply
    12,302.51x = 18,459.18 × 6,457.77
  4. Step 4: Simplify right side
    12,302.51x = 119,205,138.83
  5. Step 5: Solve for x
    x = 119,205,138.83/12,302.51
  6. Step 6: Final answer
    x = 9,689.50

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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.