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Finding the Fourth Proportional to 28,960.64, 39,966.08 and 17,776

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Solution

The fourth proportional to 28,960.64, 39,966.08 and 17,776 is: 24,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,960.64 : 39,966.08 = 17,776 : x
  2. Step 2: Convert to fraction form
    28,960.64/39,966.08 = 17,776/x
  3. Step 3: Cross multiply
    28,960.64x = 39,966.08 × 17,776
  4. Step 4: Simplify right side
    28,960.64x = 710,437,038.08
  5. Step 5: Solve for x
    x = 710,437,038.08/28,960.64
  6. Step 6: Final answer
    x = 24,531.12

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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.