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Finding the Fourth Proportional to 15,312, 21,125.14 and 10,009.88

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Solution

The fourth proportional to 15,312, 21,125.14 and 10,009.88 is: 13,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312 : 21,125.14 = 10,009.88 : x
  2. Step 2: Convert to fraction form
    15,312/21,125.14 = 10,009.88/x
  3. Step 3: Cross multiply
    15,312x = 21,125.14 × 10,009.88
  4. Step 4: Simplify right side
    15,312x = 211,460,116.38
  5. Step 5: Solve for x
    x = 211,460,116.38/15,312
  6. Step 6: Final answer
    x = 13,810.09

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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.