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Finding the Fourth Proportional to 15,588.84, 21,509.04 and 9,300

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Solution

The fourth proportional to 15,588.84, 21,509.04 and 9,300 is: 12,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.84 : 21,509.04 = 9,300 : x
  2. Step 2: Convert to fraction form
    15,588.84/21,509.04 = 9,300/x
  3. Step 3: Cross multiply
    15,588.84x = 21,509.04 × 9,300
  4. Step 4: Simplify right side
    15,588.84x = 200,034,072
  5. Step 5: Solve for x
    x = 200,034,072/15,588.84
  6. Step 6: Final answer
    x = 12,831.88

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