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Finding the Fourth Proportional to 12,303.06, 16,971 and 7,584

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Solution

The fourth proportional to 12,303.06, 16,971 and 7,584 is: 10,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.06 : 16,971 = 7,584 : x
  2. Step 2: Convert to fraction form
    12,303.06/16,971 = 7,584/x
  3. Step 3: Cross multiply
    12,303.06x = 16,971 × 7,584
  4. Step 4: Simplify right side
    12,303.06x = 128,708,064
  5. Step 5: Solve for x
    x = 128,708,064/12,303.06
  6. Step 6: Final answer
    x = 10,461.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.