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Finding the Fourth Proportional to 15,444, 21,303.28 and 9,152.16

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Solution

The fourth proportional to 15,444, 21,303.28 and 9,152.16 is: 12,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,444 : 21,303.28 = 9,152.16 : x
  2. Step 2: Convert to fraction form
    15,444/21,303.28 = 9,152.16/x
  3. Step 3: Cross multiply
    15,444x = 21,303.28 × 9,152.16
  4. Step 4: Simplify right side
    15,444x = 194,971,027.08
  5. Step 5: Solve for x
    x = 194,971,027.08/15,444
  6. Step 6: Final answer
    x = 12,624.39

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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.